Explanation
[tex]4x+4y=-4[/tex]to solve an equation is to find its solutions, which are the values that fulfill the condition stated by the equation, in this case we have one equation and 2 unknown values ( variables) x and y,
to solve for y we need isolate it, so
Step 1
a)solve for y}
[tex]4x+4y=-4[/tex]apply the subtraction property of equality, and subtract 4x in both sides
so
[tex]\begin{gathered} 4x+4y=-4 \\ \text{subtract 4x in both sides} \\ 4x+4y-4x=-4-4x \\ 4y=-4-4x \end{gathered}[/tex]Step 2
now, apply the division property of equality and divide both sides by 4
[tex]\begin{gathered} 4y=-4-4x \\ \text{divide both sides by 4} \\ \frac{4y}{4}=\frac{-4-4x}{4} \\ y=-\frac{4}{4}-\frac{4x}{4} \\ y=-1-x \end{gathered}[/tex]therefore the answer is
[tex]y=-1-x[/tex]I hope this helps you