Basic Math Examples

$y = \frac{3}{4} y - 5$

Step 1

Combine $\frac{3}{4}$ and $y$ .

$y = \frac{3 y}{4} - 5$

Step 2

Move all terms containing $y$ to the left side of the equation.

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Step 2.1

Subtract $\frac{3 y}{4}$ from both sides of the equation.

$y - \frac{3 y}{4} = - 5$

Step 2.2

To write $y$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$y \cdot \frac{4}{4} - \frac{3 y}{4} = - 5$

Step 2.3

Combine $y$ and $\frac{4}{4}$ .

$\frac{y \cdot 4}{4} - \frac{3 y}{4} = - 5$

Step 2.4

Combine the numerators over the common denominator.

$\frac{y \cdot 4 - 3 y}{4} = - 5$

Step 2.5

Simplify the numerator.

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Step 2.5.1

Move $4$ to the left of $y$ .

$\frac{4 \cdot y - 3 y}{4} = - 5$

Step 2.5.2

Subtract $3 y$ from $4 y$ .

$\frac{y}{4} = - 5$

Step 3

Multiply both sides of the equation by $4$ .

$4 \frac{y}{4} = 4 \cdot - 5$

Step 4

Simplify both sides of the equation.

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Step 4.1

Simplify the left side.

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Step 4.1.1

Cancel the common factor of $4$ .

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Step 4.1.1.1

Cancel the common factor.

$4 \frac{y}{4} = 4 \cdot - 5$

Step 4.1.1.2

Rewrite the expression.

$y = 4 \cdot - 5$

Step 4.2

Simplify the right side.

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Step 4.2.1

Multiply $4$ by $- 5$ .

$y = - 20$