Basic Math Examples

$\frac{3 y}{8} - 9 = 13 + \frac{y}{8}$

Step 1

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

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Step 1.1

Subtract $\frac{y}{8}$ from both sides of the equation.

$\frac{3 y}{8} - 9 - \frac{y}{8} = 13$

Step 1.2

Combine the numerators over the common denominator.

$- 9 + \frac{3 y - y}{8} = 13$

Step 1.3

Subtract $y$ from $3 y$ .

$- 9 + \frac{2 y}{8} = 13$

Step 1.4

Cancel the common factor of $2$ and $8$ .

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Step 1.4.1

Factor $2$ out of $2 y$ .

$- 9 + \frac{2 (y)}{8} = 13$

Step 1.4.2

Cancel the common factors.

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Step 1.4.2.1

Factor $2$ out of $8$ .

$- 9 + \frac{2 y}{2 \cdot 4} = 13$

Step 1.4.2.2

Cancel the common factor.

$- 9 + \frac{2 y}{2 \cdot 4} = 13$

Step 1.4.2.3

Rewrite the expression.

$- 9 + \frac{y}{4} = 13$

Step 2

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

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Step 2.1

Add $9$ to both sides of the equation.

$\frac{y}{4} = 13 + 9$

Step 2.2

Add $13$ and $9$ .

$\frac{y}{4} = 22$

Step 3

Multiply both sides of the equation by $4$ .

$4 \frac{y}{4} = 4 \cdot 22$

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.

$4 \frac{y}{4} = 4 \cdot 22$

Step 4.1.1.2

Rewrite the expression.

$y = 4 \cdot 22$

Step 4.2

Simplify the right side.

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Step 4.2.1

Multiply $4$ by $22$ .

$y = 88$