Answer
$y=-2$ and $y=6$.
Work Step by Step
The given equation is
$\Rightarrow (y+2)(y-6)=0$
Use zero-product property rule.
$\Rightarrow y+2=0$ or $y-6=0$
Solve for $y$.
$\Rightarrow y=-2$ or $y=6$
Check:-
$y=-2$
$\Rightarrow (-2+2)(-2-6)=0$
$\Rightarrow 0(-8)=0$
$\Rightarrow 0=0$
True.
Check:-
$y=6$
$\Rightarrow (6+2)(6-6)=0$
$\Rightarrow 8(0)=0$
$\Rightarrow 0=0$
True.
Hence, the solutions are $y=-2$ and $y=6$.
