When they ask you to solve for y, they just want you to isolate it on one side of the equal sign (like how it is in a slope-intercept form equation). So to start:
2x + 3y = 12
3y = -2x + 12 Subtract 2x from both sides to move it to the right.
y = [tex]\frac{-2}{3}[/tex] + 4 Divide both sides by 3 to completely isolate the y value.
Notice how y = [tex]\frac{-2}{3}[/tex] + 4 is a slope-intercept form equation and is solved for y.
Therefore, the equation would be y = [tex]\frac{-2}{3}[/tex] + 4.
Hope this helps! :)
