Algebra Examples

$14 y \div \frac{7 y}{y - 3}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$14 y \frac{y - 3}{7 y}$

Step 2

Cancel the common factor of $7 y$ .

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Step 2.1

Factor $7 y$ out of $14 y$ .

$7 y (2) \frac{y - 3}{7 y}$

Step 2.2

Cancel the common factor.

$7 y \cdot 2 \frac{y - 3}{7 y}$

Step 2.3

Rewrite the expression.

$2 (y - 3)$

Step 3

Apply the distributive property.

$2 y + 2 \cdot - 3$

Step 4

Multiply $2$ by $- 3$ .

$2 y - 6$