Basic Math Examples

$\frac{5}{y - 1} + \frac{y}{1 - y}$

Step 1

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

$\frac{5}{y - 1} + \frac{y}{- 1 (- 1) - y}$

Step 2

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

$\frac{5}{y - 1} + \frac{y}{- 1 (- 1) - (y)}$

Step 3

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

$\frac{5}{y - 1} + \frac{y}{- 1 (- 1 + y)}$

Step 4

Simplify the expression.

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Step 4.1

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

$\frac{5}{y - 1} + \frac{- y}{- 1 + y}$

Step 4.2

Reorder terms.

$\frac{5}{y - 1} + \frac{- y}{y - 1}$

Step 5

Combine the numerators over the common denominator.

$\frac{5 - y}{y - 1}$