Answer
$y=-4$
Work Step by Step
The given equation is
$\Rightarrow \frac{1}{2}y-8=-10$
Add $8$ to each side.
$\Rightarrow \frac{1}{2}y-8+8=-10+8$
Simplify.
$\Rightarrow \frac{1}{2}y=-2$
Multiply each side by $2$.
$\Rightarrow 2\cdot \frac{1}{2}y=2\cdot (-2)$
Simplify.
$\Rightarrow y=-4$.
Check:-
$\Rightarrow \frac{1}{2}(-4)-8=-10$
$\Rightarrow -2-8=-10$
$\Rightarrow -10=-10$
True.
Hence, the solution is $y=-4$.
