Basic Math Examples

$- 35 = \frac{7}{8} y$

Step 1

Rewrite the equation as $\frac{7}{8} y = - 35$ .

$\frac{7}{8} y = - 35$

Step 2

Multiply both sides of the equation by $\frac{8}{7}$ .

$\frac{8}{7} (\frac{7}{8} y) = \frac{8}{7} \cdot - 35$

Step 3

Simplify both sides of the equation.

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Step 3.1

Simplify the left side.

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Step 3.1.1

Simplify $\frac{8}{7} (\frac{7}{8} y)$ .

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Step 3.1.1.1

Combine $\frac{7}{8}$ and $y$ .

$\frac{8}{7} \cdot \frac{7 y}{8} = \frac{8}{7} \cdot - 35$

Step 3.1.1.2

Cancel the common factor of $8$ .

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Step 3.1.1.2.1

Cancel the common factor.

$\frac{8}{7} \cdot \frac{7 y}{8} = \frac{8}{7} \cdot - 35$

Step 3.1.1.2.2

Rewrite the expression.

$\frac{1}{7} (7 y) = \frac{8}{7} \cdot - 35$

Step 3.1.1.3

Cancel the common factor of $7$ .

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Step 3.1.1.3.1

Factor $7$ out of $7 y$ .

$\frac{1}{7} (7 (y)) = \frac{8}{7} \cdot - 35$

Step 3.1.1.3.2

Cancel the common factor.

$\frac{1}{7} (7 y) = \frac{8}{7} \cdot - 35$

Step 3.1.1.3.3

Rewrite the expression.

$y = \frac{8}{7} \cdot - 35$

Step 3.2

Simplify the right side.

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Step 3.2.1

Simplify $\frac{8}{7} \cdot - 35$ .

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Step 3.2.1.1

Cancel the common factor of $7$ .

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Step 3.2.1.1.1

Factor $7$ out of $- 35$ .

$y = \frac{8}{7} \cdot (7 (- 5))$

Step 3.2.1.1.2

Cancel the common factor.

$y = \frac{8}{7} \cdot (7 \cdot - 5)$

Step 3.2.1.1.3

Rewrite the expression.

$y = 8 \cdot - 5$

Step 3.2.1.2

Multiply $8$ by $- 5$ .

$y = - 40$