Solve for y -3(-5)+7y=5(-5)+2y

$- 3 (- 5) + 7 y = 5 (- 5) + 2 y$

Step 1

Multiply $- 3$ by $- 5$ .

$15 + 7 y = 5 (- 5) + 2 y$

Step 2

Multiply $5$ by $- 5$ .

$15 + 7 y = - 25 + 2 y$

Step 3

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

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

$15 + 7 y - 2 y = - 25$

Subtract $2 y$ from $7 y$ .

$15 + 5 y = - 25$

Step 4

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

Subtract $15$ from both sides of the equation.

$5 y = - 25 - 15$

Subtract $15$ from $- 25$ .

$5 y = - 40$

Step 5

Divide each term in $5 y = - 40$ by $5$ and simplify.

Divide each term in $5 y = - 40$ by $5$ .

$\frac{5 y}{5} = \frac{- 40}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 y}{5} = \frac{- 40}{5}$

Divide $y$ by $1$ .

$y = \frac{- 40}{5}$

Simplify the right side.

Divide $- 40$ by $5$ .

$y = - 8$