Answer
$y=\{ -5,-3 \}$
Work Step by Step
By the Zero-Product Property, $ab=0$ implies $a=0 \text{ OR } b=0$. Hence, the solution to the given equation, $
(y+5)(y+3)=0
$, is
\begin{array}{}
y+5=0
\\
y=0-5
\\
y=-5
,\\\\\text{OR}\\\\
y+3=0
\\
y=0-3
\\
y=-3
.\end{array}
Hence, $
y=\{ -5,-3 \}
$.
