Solve for y x=3y-2

$x = 3 y - 2$

Step 1

Rewrite the equation as $3 y - 2 = x$ .

$3 y - 2 = x$

Step 2

Add $2$ to both sides of the equation.

$3 y = x + 2$

Step 3

Divide each term in $3 y = x + 2$ by $3$ and simplify.

Divide each term in $3 y = x + 2$ by $3$ .

$\frac{3 y}{3} = \frac{x}{3} + \frac{2}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 y}{3} = \frac{x}{3} + \frac{2}{3}$

Divide $y$ by $1$ .

$y = \frac{x}{3} + \frac{2}{3}$