Answer
$y=-2-x$
Work Step by Step
We are trying to isolate $y$ in the equation $-2x-2y=4$.
First, we factor out the $-2$ on the left side, using the distributive property: $-2(x+y)=4$
Next, we divide by $-2$ on both sides of the equation: $x+y=\frac{4}{-2}=-2$
Finally, we subtract $x$ from both sides of the equation to isolate $y$: $y=-2-x$