Respuesta :

[tex]y=-1-x[/tex]

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