#### Answer

$2(y+4)$

#### Work Step by Step

We are given the denominators $2y+8$ and $y+4$.
In order to find the least common denominator, we must factor each denominator.
$2y+8=2\times(y+4)$
$y+4$ cannot be simplified further
Next, we multiply together all distinct factors from each denominator, with each factor raised to the greatest power that occurs in any denominator.
$LCD=2\times(y+4)=2(y+4)$