y = mx + b ------ slope intercept form, you can see that y is alone at the left side of the equation
solve for y
2y-3x=6
add 3x to both sides
2y - 3x + 3x = 6 + 3x
2y = 6 + 3x ------ y is now alone at the left side, but it has a coefficient of 2
divide both sides by 2
2y/2 = (6 + 3x)/2
y = 6/2 + 3/2x
y = 3 + 3/2x
arrange the terms at the right side
y = 3/2x + 3