Answer
$y=\frac{1}{4}$
Work Step by Step
The given equation is $-4y-10=4(y-3)$
This can be written as $-4y-10=4y-12$
Add 12 to both sides of the equation. Then,
$-4y-10+12=4y-12+12$
Or $-4y+2=4y$
Add $4y$ to both sides of the equation to get
$-4y+2+4y=4y+4y$
Or $2=8y$
Now, divide both sides of the equation by $8$.
Then, $\frac{2}{8}=\frac{8y}{8}$
Or $y=\frac{1}{4}$