Basic Math Examples

$4 \cdot y \div 3 = 8$

Step 1

Multiply both sides of the equation by $\frac{3}{4}$ .

$\frac{3}{4} \cdot 4 \cdot y \div 3 = \frac{3}{4} \cdot 8$

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 $\frac{3}{4} \cdot 4 \cdot y \div 3$ .

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Step 2.1.1.1

Rewrite the division as a fraction.

$\frac{3}{4} \cdot \frac{4 \cdot y}{3} = \frac{3}{4} \cdot 8$

Step 2.1.1.2

Cancel the common factor of $3$ .

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Step 2.1.1.2.1

Cancel the common factor.

$\frac{3}{4} \cdot \frac{4 \cdot y}{3} = \frac{3}{4} \cdot 8$

Step 2.1.1.2.2

Rewrite the expression.

$\frac{1}{4} (4 \cdot y) = \frac{3}{4} \cdot 8$

Step 2.1.1.3

Cancel the common factor of $4$ .

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Step 2.1.1.3.1

Factor $4$ out of $4 \cdot y$ .

$\frac{1}{4} (4 (y)) = \frac{3}{4} \cdot 8$

Step 2.1.1.3.2

Cancel the common factor.

$\frac{1}{4} (4 y) = \frac{3}{4} \cdot 8$

Step 2.1.1.3.3

Rewrite the expression.

$y = \frac{3}{4} \cdot 8$

Step 2.2

Simplify the right side.

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Step 2.2.1

Simplify $\frac{3}{4} \cdot 8$ .

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Step 2.2.1.1

Cancel the common factor of $4$ .

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Step 2.2.1.1.1

Factor $4$ out of $8$ .

$y = \frac{3}{4} \cdot (4 (2))$

Step 2.2.1.1.2

Cancel the common factor.

$y = \frac{3}{4} \cdot (4 \cdot 2)$

Step 2.2.1.1.3

Rewrite the expression.

$y = 3 \cdot 2$

Step 2.2.1.2

Multiply $3$ by $2$ .

$y = 6$