Answer
$(y+5)(y+1)$
Work Step by Step
$6$ is positive, so we list positive factors of $5$.
$\left[\begin{array}{lll}
\text{Factors of 5 } & \text{Sum of factors} & \\
1 \text{ and } 5 & 6 & \text{...is what we need}
\end{array}\right]$
$y^{2}+6y+5=(y+5)(y+1)$
Check:
$(y+5)(y+1)=$
...use the FOIL method.
$=y^{2}+y+5y+5$
...add like terms.
$=y^{2}+6y+5$