Solve for s -4=-8r+10s

$- 4 = - 8 r + 10 s$

Rewrite the equation as $- 8 r + 10 s = - 4$ .

$- 8 r + 10 s = - 4$

Add $8 r$ to both sides of the equation.

$10 s = - 4 + 8 r$

Divide each term in $10 s = - 4 + 8 r$ by $10$ and simplify.

Divide each term in $10 s = - 4 + 8 r$ by $10$ .

$\frac{10 s}{10} = \frac{- 4}{10} + \frac{8 r}{10}$

Simplify the left side.

Cancel the common factor of $10$ .

Cancel the common factor.

$\frac{10 s}{10} = \frac{- 4}{10} + \frac{8 r}{10}$

Divide $s$ by $1$ .

$s = \frac{- 4}{10} + \frac{8 r}{10}$

Simplify the right side.

Simplify each term.

Cancel the common factor of $- 4$ and $10$ .

Factor $2$ out of $- 4$ .

$s = \frac{2 (- 2)}{10} + \frac{8 r}{10}$

Cancel the common factors.

Factor $2$ out of $10$ .

$s = \frac{2 \cdot - 2}{2 \cdot 5} + \frac{8 r}{10}$

Cancel the common factor.

$s = \frac{2 \cdot - 2}{2 \cdot 5} + \frac{8 r}{10}$

Rewrite the expression.

$s = \frac{- 2}{5} + \frac{8 r}{10}$

Move the negative in front of the fraction.

$s = - \frac{2}{5} + \frac{8 r}{10}$

Cancel the common factor of $8$ and $10$ .

Factor $2$ out of $8 r$ .

$s = - \frac{2}{5} + \frac{2 (4 r)}{10}$

Cancel the common factors.

Factor $2$ out of $10$ .

$s = - \frac{2}{5} + \frac{2 (4 r)}{2 (5)}$

Cancel the common factor.

$s = - \frac{2}{5} + \frac{2 (4 r)}{2 \cdot 5}$

Rewrite the expression.

$s = - \frac{2}{5} + \frac{4 r}{5}$