Question

8x - 4y = -12 solve for y

Answer 1

Solving an equation means finding a value of a variable that make the equation true. This value is called the solution of the equation. A mathematical equation is just like a balanced equation. Both sides of the equation should be equal at all times. Whatever we do to one side, has to be done on the opposite side. 

$8x - 4y = -12$ 

$4(2x-y)=-12$   $Factor \ out \ the \ common \ term \ 4$

$2x-y=- \dfrac{12}{4}$    $Divide \ both \ sides \ by \ 4$

$2x-y=-3$ 

$-y=-3-2x$       $Subtract \ 2x \ from \ both \ sides$

$y=3+2x$        $Multiply \ both \ sides \ by \ -1$