Algebra Examples

$\frac{2 y}{y + 2} + \frac{4}{y + 2}$

Step 1

Combine the numerators over the common denominator.

$\frac{2 y + 4}{y + 2}$

Step 2

Factor $2$ out of $2 y + 4$ .

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Step 2.1

Factor $2$ out of $2 y$ .

$\frac{2 (y) + 4}{y + 2}$

Step 2.2

Factor $2$ out of $4$ .

$\frac{2 y + 2 \cdot 2}{y + 2}$

Step 2.3

Factor $2$ out of $2 y + 2 \cdot 2$ .

$\frac{2 (y + 2)}{y + 2}$

Step 3

Cancel the common factor of $y + 2$ .

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Step 3.1

Cancel the common factor.

$\frac{2 (y + 2)}{y + 2}$

Step 3.2

Divide $2$ by $1$ .

$2$