Solve for y 26=-8/5y

$26 = - \frac{8}{5} y$

Step 1

Rewrite the equation as $- \frac{8}{5} y = 26$ .

$- \frac{8}{5} y = 26$

Step 2

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

$- \frac{5}{8} (- \frac{8}{5} y) = - \frac{5}{8} \cdot 26$

Step 3

Simplify both sides of the equation.

Simplify the left side.

Simplify $- \frac{5}{8} (- \frac{8}{5} y)$ .

Combine $y$ and $\frac{8}{5}$ .

$- \frac{5}{8} (- \frac{y \cdot 8}{5}) = - \frac{5}{8} \cdot 26$

Cancel the common factor of $5$ .

Move the leading negative in $- \frac{5}{8}$ into the numerator.

$\frac{- 5}{8} (- \frac{y \cdot 8}{5}) = - \frac{5}{8} \cdot 26$

Move the leading negative in $- \frac{y \cdot 8}{5}$ into the numerator.

$\frac{- 5}{8} \cdot \frac{- y \cdot 8}{5} = - \frac{5}{8} \cdot 26$

Factor $5$ out of $- 5$ .

$\frac{5 (- 1)}{8} \cdot \frac{- y \cdot 8}{5} = - \frac{5}{8} \cdot 26$

Cancel the common factor.

$\frac{5 \cdot - 1}{8} \cdot \frac{- y \cdot 8}{5} = - \frac{5}{8} \cdot 26$

Rewrite the expression.

$\frac{- 1}{8} (- y \cdot 8) = - \frac{5}{8} \cdot 26$

Cancel the common factor of $8$ .

Factor $8$ out of $- y \cdot 8$ .

$\frac{- 1}{8} (8 \cdot (- y)) = - \frac{5}{8} \cdot 26$

Cancel the common factor.

$\frac{- 1}{8} (8 \cdot (- y)) = - \frac{5}{8} \cdot 26$

Rewrite the expression.

$- - y = - \frac{5}{8} \cdot 26$

Multiply.

Multiply $- 1$ by $- 1$ .

$1 y = - \frac{5}{8} \cdot 26$

Multiply $y$ by $1$ .

$y = - \frac{5}{8} \cdot 26$

Simplify the right side.

Simplify $- \frac{5}{8} \cdot 26$ .

Cancel the common factor of $2$ .

Move the leading negative in $- \frac{5}{8}$ into the numerator.

$y = \frac{- 5}{8} \cdot 26$

Factor $2$ out of $8$ .

$y = \frac{- 5}{2 (4)} \cdot 26$

Factor $2$ out of $26$ .

$y = \frac{- 5}{2 \cdot 4} \cdot (2 \cdot 13)$

Cancel the common factor.

$y = \frac{- 5}{2 \cdot 4} \cdot (2 \cdot 13)$

Rewrite the expression.

$y = \frac{- 5}{4} \cdot 13$

Combine $\frac{- 5}{4}$ and $13$ .

$y = \frac{- 5 \cdot 13}{4}$

Simplify the expression.

Multiply $- 5$ by $13$ .

$y = \frac{- 65}{4}$

Move the negative in front of the fraction.

$y = - \frac{65}{4}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$y = - \frac{65}{4}$

Decimal Form:

$y = - 16.25$

Mixed Number Form:

$y = - 16 \frac{1}{4}$

Solve for y 26=-8/5y

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