Solve for y 3/5y=-6x

$\frac{3}{5} y = - 6 x$

Multiply both sides of the equation by $\frac{5}{3}$ .

$\frac{5}{3} (\frac{3}{5} y) = \frac{5}{3} (- 6 x)$

Simplify both sides of the equation.

Simplify the left side.

Simplify $\frac{5}{3} (\frac{3}{5} y)$ .

Combine $\frac{3}{5}$ and $y$ .

$\frac{5}{3} \cdot \frac{3 y}{5} = \frac{5}{3} (- 6 x)$

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5}{3} \cdot \frac{3 y}{5} = \frac{5}{3} (- 6 x)$

Rewrite the expression.

$\frac{1}{3} (3 y) = \frac{5}{3} (- 6 x)$

Cancel the common factor of $3$ .

Factor $3$ out of $3 y$ .

$\frac{1}{3} (3 (y)) = \frac{5}{3} (- 6 x)$

Cancel the common factor.

$\frac{1}{3} (3 y) = \frac{5}{3} (- 6 x)$

Rewrite the expression.

$y = \frac{5}{3} (- 6 x)$

Simplify the right side.

Simplify $\frac{5}{3} (- 6 x)$ .

Cancel the common factor of $3$ .

Factor $3$ out of $- 6 x$ .

$y = \frac{5}{3} (3 (- 2 x))$

Cancel the common factor.

$y = \frac{5}{3} (3 (- 2 x))$

Rewrite the expression.

$y = 5 (- 2 x)$

Multiply $- 2$ by $5$ .

$y = - 10 x$