Basic Math Examples

$\frac{4 y - 20}{- 7 y} \cdot \frac{35}{30 - 6 y}$

Step 1

Simplify terms.

Tap for more steps...

Step 1.1

Factor $4$ out of $4 y - 20$ .

Tap for more steps...

Step 1.1.1

Factor $4$ out of $4 y$ .

$\frac{4 (y) - 20}{- 7 y} \cdot \frac{35}{30 - 6 y}$

Step 1.1.2

Factor $4$ out of $- 20$ .

$\frac{4 y + 4 \cdot - 5}{- 7 y} \cdot \frac{35}{30 - 6 y}$

Step 1.1.3

Factor $4$ out of $4 y + 4 \cdot - 5$ .

$\frac{4 (y - 5)}{- 7 y} \cdot \frac{35}{30 - 6 y}$

Step 1.2

Factor $6$ out of $30 - 6 y$ .

Tap for more steps...

Step 1.2.1

Factor $6$ out of $30$ .

$\frac{4 (y - 5)}{- 7 y} \cdot \frac{35}{6 (5) - 6 y}$

Step 1.2.2

Factor $6$ out of $- 6 y$ .

$\frac{4 (y - 5)}{- 7 y} \cdot \frac{35}{6 (5) + 6 (- y)}$

Step 1.2.3

Factor $6$ out of $6 (5) + 6 (- y)$ .

$\frac{4 (y - 5)}{- 7 y} \cdot \frac{35}{6 (5 - y)}$

Step 1.3

Cancel the common factor of $2$ .

Tap for more steps...

Step 1.3.1

Factor $2$ out of $4 (y - 5)$ .

$\frac{2 (2 (y - 5))}{- 7 y} \cdot \frac{35}{6 (5 - y)}$

Step 1.3.2

Factor $2$ out of $6 (5 - y)$ .

$\frac{2 (2 (y - 5))}{- 7 y} \cdot \frac{35}{2 (3 (5 - y))}$

Step 1.3.3

Cancel the common factor.

$\frac{2 (2 (y - 5))}{- 7 y} \cdot \frac{35}{2 (3 (5 - y))}$

Step 1.3.4

Rewrite the expression.

$\frac{2 (y - 5)}{- 7 y} \cdot \frac{35}{3 (5 - y)}$

Step 1.4

Cancel the common factor of $7$ .

Tap for more steps...

Step 1.4.1

Factor $7$ out of $- 7 y$ .

$\frac{2 (y - 5)}{7 (- y)} \cdot \frac{35}{3 (5 - y)}$

Step 1.4.2

Factor $7$ out of $35$ .

$\frac{2 (y - 5)}{7 (- y)} \cdot \frac{7 (5)}{3 (5 - y)}$

Step 1.4.3

Cancel the common factor.

$\frac{2 (y - 5)}{7 (- y)} \cdot \frac{7 \cdot 5}{3 (5 - y)}$

Step 1.4.4

Rewrite the expression.

$\frac{2 (y - 5)}{- y} \cdot \frac{5}{3 (5 - y)}$

Step 1.5

Multiply $\frac{2 (y - 5)}{- y}$ by $\frac{5}{3 (5 - y)}$ .

$\frac{2 (y - 5) \cdot 5}{- y (3 (5 - y))}$

Step 1.6

Multiply.

Tap for more steps...

Step 1.6.1

Multiply $5$ by $2$ .

$\frac{10 (y - 5)}{- y (3 (5 - y))}$

Step 1.6.2

Multiply $3$ by $- 1$ .

$\frac{10 (y - 5)}{- 3 y (5 - y)}$

Step 1.7

Cancel the common factor of $y - 5$ and $5 - y$ .

Tap for more steps...

Step 1.7.1

Factor $- 1$ out of $y$ .

$\frac{10 (- 1 (- y) - 5)}{- 3 y (5 - y)}$

Step 1.7.2

Rewrite $- 5$ as $- 1 (5)$ .

$\frac{10 (- 1 (- y) - 1 (5))}{- 3 y (5 - y)}$

Step 1.7.3

Factor $- 1$ out of $- 1 (- y) - 1 (5)$ .

$\frac{10 (- 1 (- y + 5))}{- 3 y (5 - y)}$

Step 1.7.4

Reorder terms.

$\frac{10 (- 1 (- y + 5))}{- 3 y (- y + 5)}$

Step 1.7.5

Cancel the common factor.

$\frac{10 (- 1 (- y + 5))}{- 3 y (- y + 5)}$

Step 1.7.6

Rewrite the expression.

$\frac{10 \cdot (- 1)}{- 3 y}$

Step 2

Multiply $10$ by $- 1$ .

$\frac{- 10}{- 3 y}$

Step 3

Dividing two negative values results in a positive value.

$\frac{10}{3 y}$