Answer
$y=-12$.
Work Step by Step
The given equation is
$\Rightarrow 10(2y+2)-y= 2(8y-8)$
Use distributive property.
$\Rightarrow 20y+20-y= 16y-16$
Simplify.
$\Rightarrow 19y+20= 16y-16$
Add $-16y-20$ to both sides.
$\Rightarrow 19y+20-16y-20= 16y-16-16y-20$
Simplify.
$\Rightarrow 3y= -36$
Divide both sides by $3$.
$\Rightarrow \frac{3y}{3}=\frac{-36}{3}$
Simplify.
$\Rightarrow y=-12$
Check:-
$\Rightarrow 10(2(-12)+2)-(-12)= 2(8(-12)-8)$
$\Rightarrow 10(-24+2)+12= 2(-96-8)$
$\Rightarrow 10(-22)+12= 2(-104)$
$\Rightarrow -220+12= -208$
$\Rightarrow -208= -208$
True.
Hence, the solution is $y=-12$.
