How do you solve for y: 2x-3y=6 ?

Let us proceed to solve the equation 2x - 3y = 6 We take the term 3y to the right-hand side of the equation which gives 2x = 6 + 3y Now we bring 6 to the left side of the equation 2x - 6 = 3y And lastly, we bring the 3 also to the other side of the equation thus dividing the term (2x-6) by 3 which ultimately gives us the value of y. (2x-6)/3=y

Substract 2x from both sides of the equation.
$-3y=6-2x$
Divide each term by -3 and simplify.
Divide each term in -3y=6-2x by -3
$\frac{-3y}{3}=\frac{6}{-3}+\frac{-2x}{-3}$
Cancel the common factor of -3
$y=\frac{6}{-3}+\frac{-2x}{-3}$
Simplify each term.
$y=-2+\frac{2x}{3}$

Explanation:
You must do the same action on both sides of the = sign;
$2x=6+3y$
$2x-6=3y$
$\frac{2x-6}{3}=y$
Therefore:
$y=(\frac{2}{3})x-2$