Solve for y 2x-y=6+y

$2 x - y = 6 + y$

Step 1

Move all terms containing $y$ to the left side of the equation.

Subtract $y$ from both sides of the equation.

$2 x - y - y = 6$

Subtract $y$ from $- y$ .

$2 x - 2 y = 6$

Step 2

Subtract $2 x$ from both sides of the equation.

$- 2 y = 6 - 2 x$

Step 3

Divide each term in $- 2 y = 6 - 2 x$ by $- 2$ and simplify.

Divide each term in $- 2 y = 6 - 2 x$ by $- 2$ .

$\frac{- 2 y}{- 2} = \frac{6}{- 2} + \frac{- 2 x}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 y}{- 2} = \frac{6}{- 2} + \frac{- 2 x}{- 2}$

Divide $y$ by $1$ .

$y = \frac{6}{- 2} + \frac{- 2 x}{- 2}$

Simplify the right side.

Simplify each term.

Divide $6$ by $- 2$ .

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

Cancel the common factor of $- 2$ .

Cancel the common factor.

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

Divide $x$ by $1$ .

$y = - 3 + x$