Solve for y w-y=3w-10

$w - y = 3 w - 10$

Step 1

Move all terms not containing $y$ to the right side of the equation.

Subtract $w$ from both sides of the equation.

$- y = 3 w - 10 - w$

Subtract $w$ from $3 w$ .

$- y = 2 w - 10$

Step 2

Divide each term in $- y = 2 w - 10$ by $- 1$ and simplify.

Divide each term in $- y = 2 w - 10$ by $- 1$ .

$\frac{- y}{- 1} = \frac{2 w}{- 1} + \frac{- 10}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{y}{1} = \frac{2 w}{- 1} + \frac{- 10}{- 1}$

Divide $y$ by $1$ .

$y = \frac{2 w}{- 1} + \frac{- 10}{- 1}$

Simplify the right side.

Simplify each term.

Move the negative one from the denominator of $\frac{2 w}{- 1}$ .

$y = - 1 \cdot (2 w) + \frac{- 10}{- 1}$

Rewrite $- 1 \cdot (2 w)$ as $- (2 w)$ .

$y = - (2 w) + \frac{- 10}{- 1}$

Multiply $2$ by $- 1$ .

$y = - 2 w + \frac{- 10}{- 1}$

Divide $- 10$ by $- 1$ .

$y = - 2 w + 10$