Basic Math Examples

$y \div (- 6) = 9$

Step 1

Multiply both sides of the equation by $- 6$ .

$- 6 y \div (- 6) = - 6 \cdot 9$

Step 2

Simplify both sides of the equation.

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Step 2.1

Simplify the left side.

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Step 2.1.1

Simplify $- 6 y \div (- 6)$ .

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Step 2.1.1.1

Rewrite the division as a fraction.

$- 6 \frac{y}{- 6} = - 6 \cdot 9$

Step 2.1.1.2

Cancel the common factor of $6$ .

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Step 2.1.1.2.1

Factor $6$ out of $- 6$ .

$6 (- 1) \frac{y}{- 6} = - 6 \cdot 9$

Step 2.1.1.2.2

Factor $6$ out of $- 6$ .

$6 \cdot - 1 \frac{y}{6 \cdot - 1} = - 6 \cdot 9$

Step 2.1.1.2.3

Cancel the common factor.

$6 \cdot - 1 \frac{y}{6 \cdot - 1} = - 6 \cdot 9$

Step 2.1.1.2.4

Rewrite the expression.

$- \frac{y}{- 1} = - 6 \cdot 9$

$- \frac{y}{- 1} = - 6 \cdot 9$

Step 2.1.1.3

Simplify the expression.

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Step 2.1.1.3.1

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

$- (- 1 \cdot y) = - 6 \cdot 9$

Step 2.1.1.3.2

Rewrite $- 1 \cdot y$ as $- y$ .

$- - y = - 6 \cdot 9$

$- - y = - 6 \cdot 9$

Step 2.1.1.4

Multiply $- - y$ .

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Step 2.1.1.4.1

Multiply $- 1$ by $- 1$ .

$1 y = - 6 \cdot 9$

Step 2.1.1.4.2

Multiply $y$ by $1$ .

$y = - 6 \cdot 9$

$y = - 6 \cdot 9$

$y = - 6 \cdot 9$

$y = - 6 \cdot 9$

Step 2.2

Simplify the right side.

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Step 2.2.1

Multiply $- 6$ by $9$ .

$y = - 54$

$y = - 54$

$y = - 54$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$