[c#] LINQ to SQL - Left Outer Join with multiple join conditions

I have the following SQL, which I am trying to translate to LINQ:

SELECT f.value
FROM period as p 
LEFT OUTER JOIN facts AS f ON p.id = f.periodid AND f.otherid = 17
WHERE p.companyid = 100

I have seen the typical implementation of the left outer join (ie. into x from y in x.DefaultIfEmpty() etc.) but am unsure how to introduce the other join condition (AND f.otherid = 17)

EDIT

Why is the AND f.otherid = 17 condition part of the JOIN instead of in the WHERE clause? Because f may not exist for some rows and I still want these rows to be included. If the condition is applied in the WHERE clause, after the JOIN - then I don't get the behaviour I want.

Unfortunately this:

from p in context.Periods
join f in context.Facts on p.id equals f.periodid into fg
from fgi in fg.DefaultIfEmpty()
where p.companyid == 100 && fgi.otherid == 17
select f.value

seems to be equivalent to this:

SELECT f.value
FROM period as p 
LEFT OUTER JOIN facts AS f ON p.id = f.periodid 
WHERE p.companyid = 100 AND f.otherid = 17

which is not quite what I'm after.

Another valid option is to spread the joins across multiple LINQ clauses, as follows:

public static IEnumerable<Announcementboard> GetSiteContent(string pageName, DateTime date)
{
    IEnumerable<Announcementboard> content = null;
    IEnumerable<Announcementboard> addMoreContent = null;
        try
        {
            content = from c in DB.Announcementboards
              // Can be displayed beginning on this date
              where c.Displayondate > date.AddDays(-1)
              // Doesn't Expire or Expires at future date
              && (c.Displaythrudate == null || c.Displaythrudate > date)
              // Content is NOT draft, and IS published
              && c.Isdraft == "N" && c.Publishedon != null
              orderby c.Sortorder ascending, c.Heading ascending
              select c;

            // Get the content specific to page names
            if (!string.IsNullOrEmpty(pageName))
            {
              addMoreContent = from c in content
                  join p in DB.Announceonpages on c.Announcementid equals p.Announcementid
                  join s in DB.Apppagenames on p.Apppagenameid equals s.Apppagenameid
                  where s.Apppageref.ToLower() == pageName.ToLower()
                  select c;
            }

            // Add the specified content using UNION
            content = content.Union(addMoreContent);

            // Exclude the duplicates using DISTINCT
            content = content.Distinct();

            return content;
        }
    catch (MyLovelyException ex)
    {
        // Add your exception handling here
        throw ex;
    }
}

Can be written using composite join key. Also if there is need to select properties from both left and right sides the LINQ can be written as

var result = context.Periods
    .Where(p => p.companyid == 100)
    .GroupJoin(
        context.Facts,
        p => new {p.id, otherid = 17},
        f => new {id = f.periodid, f.otherid},
        (p, f) => new {p, f})
    .SelectMany(
        pf => pf.f.DefaultIfEmpty(),
        (pf, f) => new MyJoinEntity
        {
            Id = pf.p.id,
            Value = f.value,
            // and so on...
        });

this works too, ...if you have multiple column joins

from p in context.Periods
join f in context.Facts 
on new {
    id = p.periodid,
    p.otherid
} equals new {
    f.id,
    f.otherid
} into fg
from fgi in fg.DefaultIfEmpty()
where p.companyid == 100
select f.value

I know it's "a bit late" but just in case if anybody needs to do this in LINQ Method syntax (which is why I found this post initially), this would be how to do that:

var results = context.Periods
    .GroupJoin(
        context.Facts,
        period => period.id,
        fk => fk.periodid,
        (period, fact) => fact.Where(f => f.otherid == 17)
                              .Select(fact.Value)
                              .DefaultIfEmpty()
    )
    .Where(period.companyid==100)
    .SelectMany(fact=>fact).ToList();

It seems to me there is value in considering some rewrites to your SQL code before attempting to translate it.

Personally, I'd write such a query as a union (although I'd avoid nulls entirely!):

SELECT f.value
  FROM period as p JOIN facts AS f ON p.id = f.periodid
WHERE p.companyid = 100
      AND f.otherid = 17
UNION
SELECT NULL AS value
  FROM period as p
WHERE p.companyid = 100
      AND NOT EXISTS ( 
                      SELECT * 
                        FROM facts AS f
                       WHERE p.id = f.periodid
                             AND f.otherid = 17
                     );

So I guess I agree with the spirit of @MAbraham1's answer (though their code seems to be unrelated to the question).

However, it seems the query is expressly designed to produce a single column result comprising duplicate rows -- indeed duplicate nulls! It's hard not to come to the conclusion that this approach is flawed.