Answer
The use of distributive property is wrong and the correct answer is $y=3$.
Work Step by Step
The given equation is
$\Rightarrow -2(7-y)+4=-4$
Use distributive property.
$\Rightarrow -2(7)-2(-y)+4=-4$
Simplify.
$\Rightarrow -14+2y+4=-4$
Add like terms.
$\Rightarrow -10+2y=-4$
Add $10$ to each side.
$\Rightarrow -10+2y+10=-4+10$
Simplify.
$\Rightarrow 2y=6$
Divide each side by $2$.
$\Rightarrow \frac{2y}{2}=\frac{6}{2}$
Simplify.
$\Rightarrow y=3$.
Hence, the use of distributive property is wrong and the correct answer is $y=3$.
