Basic Math Examples

$- \frac{8}{9} y = 55$

Step 1

Multiply each term in $- \frac{8}{9} y = 55$ by $- \frac{9}{8}$ .

$- \frac{8}{9} y (- \frac{9}{8}) = 55 (- \frac{9}{8})$

Step 2

Simplify the left side.

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Step 2.1

Combine $y$ and $\frac{8}{9}$ .

$- \frac{y \cdot 8}{9} (- \frac{9}{8}) = 55 (- \frac{9}{8})$

Step 2.2

Cancel the common factor of $8$ .

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Step 2.2.1

Move the leading negative in $- \frac{y \cdot 8}{9}$ into the numerator.

$\frac{- y \cdot 8}{9} (- \frac{9}{8}) = 55 (- \frac{9}{8})$

Step 2.2.2

Move the leading negative in $- \frac{9}{8}$ into the numerator.

$\frac{- y \cdot 8}{9} \cdot \frac{- 9}{8} = 55 (- \frac{9}{8})$

Step 2.2.3

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

$\frac{8 \cdot (- y)}{9} \cdot \frac{- 9}{8} = 55 (- \frac{9}{8})$

Step 2.2.4

Cancel the common factor.

$\frac{8 \cdot (- y)}{9} \cdot \frac{- 9}{8} = 55 (- \frac{9}{8})$

Step 2.2.5

Rewrite the expression.

$\frac{- y}{9} \cdot - 9 = 55 (- \frac{9}{8})$

Step 2.3

Cancel the common factor of $9$ .

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Step 2.3.1

Factor $9$ out of $- 9$ .

$\frac{- y}{9} \cdot (9 (- 1)) = 55 (- \frac{9}{8})$

Step 2.3.2

Cancel the common factor.

$\frac{- y}{9} \cdot (9 \cdot - 1) = 55 (- \frac{9}{8})$

Step 2.3.3

Rewrite the expression.

$- y \cdot - 1 = 55 (- \frac{9}{8})$

Step 2.4

Multiply.

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Step 2.4.1

Multiply $- 1$ by $- 1$ .

$1 y = 55 (- \frac{9}{8})$

Step 2.4.2

Multiply $y$ by $1$ .

$y = 55 (- \frac{9}{8})$

Step 3

Simplify the right side.

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Step 3.1

Multiply $55 (- \frac{9}{8})$ .

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Step 3.1.1

Multiply $- 1$ by $55$ .

$y = - 55 (\frac{9}{8})$

Step 3.1.2

Combine $- 55$ and $\frac{9}{8}$ .

$y = \frac{- 55 \cdot 9}{8}$

Step 3.1.3

Multiply $- 55$ by $9$ .

$y = \frac{- 495}{8}$

Step 3.2

Move the negative in front of the fraction.

$y = - \frac{495}{8}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$y = - \frac{495}{8}$

Decimal Form:

$y = - 61.875$

Mixed Number Form:

$y = - 61 \frac{7}{8}$