Basic Math Examples

$- \frac{16}{4 y - 28} + \frac{4 y - 3}{y - 7}$

Step 1

Cancel the common factor of $16$ and $4 y - 28$ .

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Step 1.1

Factor $4$ out of $16$ .

$- \frac{4 \cdot 4}{4 y - 28} + \frac{4 y - 3}{y - 7}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $4$ out of $4 y$ .

$- \frac{4 \cdot 4}{4 (y) - 28} + \frac{4 y - 3}{y - 7}$

Step 1.2.2

Factor $4$ out of $- 28$ .

$- \frac{4 \cdot 4}{4 (y) + 4 (- 7)} + \frac{4 y - 3}{y - 7}$

Step 1.2.3

Factor $4$ out of $4 (y) + 4 (- 7)$ .

$- \frac{4 \cdot 4}{4 (y - 7)} + \frac{4 y - 3}{y - 7}$

Step 1.2.4

Cancel the common factor.

$- \frac{4 \cdot 4}{4 (y - 7)} + \frac{4 y - 3}{y - 7}$

Step 1.2.5

Rewrite the expression.

$- \frac{4}{y - 7} + \frac{4 y - 3}{y - 7}$

Step 2

Combine the numerators over the common denominator.

$\frac{- 4 + 4 y - 3}{y - 7}$

Step 3

Subtract $3$ from $- 4$ .

$\frac{4 y - 7}{y - 7}$