Basic Math Examples

$- 7 = \frac{y + 56}{- 9}$

Step 1

Rewrite the equation as $\frac{y + 56}{- 9} = - 7$ .

$\frac{y + 56}{- 9} = - 7$

Step 2

Multiply both sides of the equation by $- 9$ .

$- 9 \frac{y + 56}{- 9} = - 9 \cdot - 7$

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 $- 9 \frac{y + 56}{- 9}$ .

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Step 3.1.1.1

Cancel the common factor of $9$ .

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Step 3.1.1.1.1

Factor $9$ out of $- 9$ .

$9 (- 1) \frac{y + 56}{- 9} = - 9 \cdot - 7$

Step 3.1.1.1.2

Factor $9$ out of $- 9$ .

$9 \cdot - 1 \frac{y + 56}{9 \cdot - 1} = - 9 \cdot - 7$

Step 3.1.1.1.3

Cancel the common factor.

$9 \cdot - 1 \frac{y + 56}{9 \cdot - 1} = - 9 \cdot - 7$

Step 3.1.1.1.4

Rewrite the expression.

$- \frac{y + 56}{- 1} = - 9 \cdot - 7$

Step 3.1.1.2

Simplify the expression.

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Step 3.1.1.2.1

Move the negative one from the denominator of $\frac{y + 56}{- 1}$ .

$- (- 1 \cdot (y + 56)) = - 9 \cdot - 7$

Step 3.1.1.2.2

Rewrite $- 1 \cdot (y + 56)$ as $- (y + 56)$ .

$- - (y + 56) = - 9 \cdot - 7$

Step 3.1.1.3

Apply the distributive property.

$- (- y - 1 \cdot 56) = - 9 \cdot - 7$

Step 3.1.1.4

Multiply $- 1$ by $56$ .

$- (- y - 56) = - 9 \cdot - 7$

Step 3.1.1.5

Apply the distributive property.

$- - y - - 56 = - 9 \cdot - 7$

Step 3.1.1.6

Multiply $- - y$ .

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Step 3.1.1.6.1

Multiply $- 1$ by $- 1$ .

$1 y - - 56 = - 9 \cdot - 7$

Step 3.1.1.6.2

Multiply $y$ by $1$ .

$y - - 56 = - 9 \cdot - 7$

Step 3.1.1.7

Multiply $- 1$ by $- 56$ .

$y + 56 = - 9 \cdot - 7$

Step 3.2

Simplify the right side.

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Step 3.2.1

Multiply $- 9$ by $- 7$ .

$y + 56 = 63$

Step 4

Move all terms not containing $y$ to the right side of the equation.

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Step 4.1

Subtract $56$ from both sides of the equation.

$y = 63 - 56$

Step 4.2

Subtract $56$ from $63$ .

$y = 7$