Solve for y (3y)/5-8=-y

$\frac{3 y}{5} - 8 = - y$

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

Add $y$ to both sides of the equation.

$\frac{3 y}{5} - 8 + y = 0$

To write $y$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$\frac{3 y}{5} + y \cdot \frac{5}{5} - 8 = 0$

Combine $y$ and $\frac{5}{5}$ .

$\frac{3 y}{5} + \frac{y \cdot 5}{5} - 8 = 0$

Combine the numerators over the common denominator.

$\frac{3 y + y \cdot 5}{5} - 8 = 0$

Add $3 y$ and $y \cdot 5$ .

Reorder $y$ and $5$ .

$\frac{3 y + 5 \cdot y}{5} - 8 = 0$

Add $3 y$ and $5 \cdot y$ .

$\frac{8 y}{5} - 8 = 0$

Add $8$ to both sides of the equation.

$\frac{8 y}{5} = 8$

Multiply both sides of the equation by $\frac{5}{8}$ .

$\frac{5}{8} \cdot \frac{8 y}{5} = \frac{5}{8} \cdot 8$

Simplify both sides of the equation.

Simplify the left side.

Simplify $\frac{5}{8} \cdot \frac{8 y}{5}$ .

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5}{8} \cdot \frac{8 y}{5} = \frac{5}{8} \cdot 8$

Rewrite the expression.

$\frac{1}{8} (8 y) = \frac{5}{8} \cdot 8$

Cancel the common factor of $8$ .

Factor $8$ out of $8 y$ .

$\frac{1}{8} (8 (y)) = \frac{5}{8} \cdot 8$

Cancel the common factor.

$\frac{1}{8} (8 y) = \frac{5}{8} \cdot 8$

Rewrite the expression.

$y = \frac{5}{8} \cdot 8$

Simplify the right side.

Cancel the common factor of $8$ .

Cancel the common factor.

$y = \frac{5}{8} \cdot 8$

Rewrite the expression.

$y = 5$