#### Answer

$y+2$

#### Work Step by Step

Factoring the expressions and cancelling the common factors between the numerator and the denominator, the given expression, $
(y^2+7y+10)\div(y+5)
,$ simplifies to
\begin{array}{l}\require{cancel}
\dfrac{y^2+7y+10}{y+5}
\\\\=
\dfrac{(y+5)(y+2)}{y+5}
\\\\=
\dfrac{(\cancel{y+5})(y+2)}{\cancel{y+5}}
\\\\=
y+2
.\end{array}