var val = yyy.First().Value;
return yyy.All(x=>x.Value == val) ? val : otherValue;
Cleanest way I can think of. You can make it a one-liner by inlining val, but First() would be evaluated n times, doubling execution time.
To incorporate the “empty set” behavior specified in the comments, you simply add one more line before the two above:
if(yyy == null || !yyy.Any()) return otherValue;