Solve for y x=-2+2y

$x = - 2 + 2 y$

Step 1

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

$- 2 + 2 y = x$

Step 2

Add $2$ to both sides of the equation.

$2 y = x + 2$

Step 3

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

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

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

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

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

Divide $y$ by $1$ .

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

Simplify the right side.

Divide $2$ by $2$ .

$y = \frac{x}{2} + 1$