Basic Math Examples

$\frac{y}{- 11} = 2.5$

Step 1

Multiply both sides of the equation by

$- 11$ .

$- 11 \frac{y}{- 11} = - 11 \cdot 2.5$

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

$- 11 \frac{y}{- 11}$ .

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Step 2.1.1.1

Cancel the common factor of

$11$ .

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Step 2.1.1.1.1

Factor

$11$ out of

$- 11$ .

$11 (- 1) \frac{y}{- 11} = - 11 \cdot 2.5$

Step 2.1.1.1.2

Factor

$11$ out of

$- 11$ .

$11 \cdot - 1 \frac{y}{11 \cdot - 1} = - 11 \cdot 2.5$

Step 2.1.1.1.3

Cancel the common factor.

$11 \cdot - 1 \frac{y}{11 \cdot - 1} = - 11 \cdot 2.5$

Step 2.1.1.1.4

Rewrite the expression.

$- \frac{y}{- 1} = - 11 \cdot 2.5$

Step 2.1.1.2

Simplify the expression.

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Step 2.1.1.2.1

Move the negative one from the denominator of

$\frac{y}{- 1}$ .

$- (- 1 \cdot y) = - 11 \cdot 2.5$

Step 2.1.1.2.2

Rewrite

$- 1 \cdot y$ as

$- y$ .

$- - y = - 11 \cdot 2.5$

Step 2.1.1.3

Multiply

$- - y$ .

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Step 2.1.1.3.1

Multiply

$- 1$ by

$- 1$ .

$1 y = - 11 \cdot 2.5$

Step 2.1.1.3.2

Multiply

$y$ by

$1$ .

$y = - 11 \cdot 2.5$

Step 2.2

Simplify the right side.

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Step 2.2.1

Multiply

$- 11$ by

$2.5$ .

$y = - 27.5$