#### Answer

$y+6$

#### Work Step by Step

Adding the numerators and copying the denominator, the given expression, $
\dfrac{y^2+6y}{y+2}+\dfrac{2y+12}{y+2}
,$ simplifies to
\begin{array}{l}\require{cancel}
\dfrac{y^2+6y+2y+12}{y+2}
\\\\=
\dfrac{y^2+8y+12}{y+2}
\\\\=
\dfrac{(y+6)(y+2)}{y+2}
\\\\=
\dfrac{(y+6)(\cancel{y+2})}{\cancel{y+2}}
\\\\=
y+6
.\end{array}