Given:
[tex] 6x+3y=12 [/tex]
To solve for y, we first need to get y on one side of the equal sign all by itself. To do that, let's start by subtracting 6x from both sides to cancel the +6x on the left. We are then left with:
[tex] 3y=-6x+12 [/tex]
Since we have to solve for y, we can't have the coefficient. So, we need to divide everything by 3.
[tex] \frac{3y}{3}=\frac{-6x}{3}+\frac{12}{3}[/tex]
Simplify.
[tex] y=-2x+4 [/tex]
