Solve for y 5(x-y)+4=7

$5 (x - y) + 4 = 7$

Step 1

Simplify each term.

Apply the distributive property.

$5 x + 5 (- y) + 4 = 7$

Multiply $- 1$ by $5$ .

$5 x - 5 y + 4 = 7$

Step 2

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

Subtract $5 x$ from both sides of the equation.

$- 5 y + 4 = 7 - 5 x$

Subtract $4$ from both sides of the equation.

$- 5 y = 7 - 5 x - 4$

Subtract $4$ from $7$ .

$- 5 y = - 5 x + 3$

Step 3

Divide each term in $- 5 y = - 5 x + 3$ by $- 5$ and simplify.

Divide each term in $- 5 y = - 5 x + 3$ by $- 5$ .

$\frac{- 5 y}{- 5} = \frac{- 5 x}{- 5} + \frac{3}{- 5}$

Simplify the left side.

Cancel the common factor of $- 5$ .

Cancel the common factor.

$\frac{- 5 y}{- 5} = \frac{- 5 x}{- 5} + \frac{3}{- 5}$

Divide $y$ by $1$ .

$y = \frac{- 5 x}{- 5} + \frac{3}{- 5}$

Simplify the right side.

Simplify each term.

Cancel the common factor of $- 5$ .

Cancel the common factor.

$y = \frac{- 5 x}{- 5} + \frac{3}{- 5}$

Divide $x$ by $1$ .

$y = x + \frac{3}{- 5}$

Move the negative in front of the fraction.

$y = x - \frac{3}{5}$