Basic Math Examples

$- \frac{15}{8} = - 5 y$

Step 1

Rewrite the equation as $- 5 y = - \frac{15}{8}$ .

$- 5 y = - \frac{15}{8}$

Step 2

Divide each term in $- 5 y = - \frac{15}{8}$ by $- 5$ and simplify.

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Step 2.1

Divide each term in $- 5 y = - \frac{15}{8}$ by $- 5$ .

$\frac{- 5 y}{- 5} = \frac{- \frac{15}{8}}{- 5}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $- 5$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{- 5 y}{- 5} = \frac{- \frac{15}{8}}{- 5}$

Step 2.2.1.2

Divide $y$ by $1$ .

$y = \frac{- \frac{15}{8}}{- 5}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Multiply the numerator by the reciprocal of the denominator.

$y = - \frac{15}{8} \cdot \frac{1}{- 5}$

Step 2.3.2

Cancel the common factor of $5$ .

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Step 2.3.2.1

Move the leading negative in $- \frac{15}{8}$ into the numerator.

$y = \frac{- 15}{8} \cdot \frac{1}{- 5}$

Step 2.3.2.2

Factor $5$ out of $- 15$ .

$y = \frac{5 (- 3)}{8} \cdot \frac{1}{- 5}$

Step 2.3.2.3

Factor $5$ out of $- 5$ .

$y = \frac{5 \cdot - 3}{8} \cdot \frac{1}{5 \cdot - 1}$

Step 2.3.2.4

Cancel the common factor.

$y = \frac{5 \cdot - 3}{8} \cdot \frac{1}{5 \cdot - 1}$

Step 2.3.2.5

Rewrite the expression.

$y = \frac{- 3}{8} \cdot \frac{1}{- 1}$

Step 2.3.3

Multiply $\frac{- 3}{8}$ by $\frac{1}{- 1}$ .

$y = \frac{- 3}{8 \cdot - 1}$

Step 2.3.4

Multiply $8$ by $- 1$ .

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

Step 2.3.5

Dividing two negative values results in a positive value.

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

Step 3

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$y = 0.375$