Answer
$(y+1)(y+5)$
Work Step by Step
$y^2+6y+5$
Factors of 5 | Sum of Factors
$\ \ \ \ \ \ 1,5\ \ \ \ \ \ \ |\ \ \ \ \ \ \ \ \ \ 6$
Since all the terms in the binomial are added, the factors will both include addition.
$y^2+6y+5=(y+1)(y+5)$
Use the FOIL method to check the answer.
$(y+1)(y+5)=y^2+5y+1y+5=y^2+6y+5\checkmark$