Question

Simplify the expression$\frac{7}{y-8}-\frac{6}{8-y}$.

Short answer

The simplified value of expression is$\frac{13}{y+8}$.

Step-by-step solution

Step 1. Write down the given expression.

The given expression is$\frac{7}{y-8}-\frac{6}{8-y}$.

Step 2. Simplify the expression.

The given expression $\frac{7}{y-8}-\frac{6}{8-y}$is simplified as:

$\begin{array}{c}\frac{7}{y-8}-\frac{6}{8-y}=\frac{7}{y-8}+\frac{6}{y-8}\\ =\frac{7+6}{y+8}\\ =\frac{13}{y+8}\end{array}$

Step 3. Conclusion.

The simplified value of expression is$\frac{13}{y+8}$.