Basic Math Examples

$\frac{20}{y - 4} + \frac{20}{4 - y}$

Step 1

Rewrite $4$ as $- 1 (- 4)$ .

$\frac{20}{y - 4} + \frac{20}{- 1 (- 4) - y}$

Step 2

Factor $- 1$ out of $- y$ .

$\frac{20}{y - 4} + \frac{20}{- 1 (- 4) - (y)}$

Step 3

Factor $- 1$ out of $- 1 (- 4) - (y)$ .

$\frac{20}{y - 4} + \frac{20}{- 1 (- 4 + y)}$

Step 4

Simplify the expression.

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Step 4.1

Move a negative from the denominator of $\frac{20}{- 1 (- 4 + y)}$ to the numerator.

$\frac{20}{y - 4} + \frac{- 1 \cdot 20}{- 4 + y}$

Step 4.2

Reorder terms.

$\frac{20}{y - 4} + \frac{- 1 \cdot 20}{y - 4}$

Step 5

Combine the numerators over the common denominator.

$\frac{20 - 1 \cdot 20}{y - 4}$

Step 6

Simplify the numerator.

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Step 6.1

Multiply $- 1$ by $20$ .

$\frac{20 - 20}{y - 4}$

Step 6.2

Subtract $20$ from $20$ .

$\frac{0}{y - 4}$

Step 7

Divide $0$ by $y - 4$ .

$0$