Basic Math Examples

$4 - \frac{2}{3} y - 6$

Step 1

Subtract $6$ from $4$ .

$- \frac{2}{3} y - 2$

Step 2

Factor $- 1$ out of $- \frac{2}{3} y - 2$ .

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Step 2.1

Move $\frac{2}{3}$ .

$- 1 y \frac{2}{3} - 2$

Step 2.2

Factor $- 1$ out of $- 1 y \frac{2}{3}$ .

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

Step 2.3

Rewrite $- 2$ as $- 1 (2)$ .

$- (y \frac{2}{3}) - 1 (2)$

Step 2.4

Factor $- 1$ out of $- (y \frac{2}{3}) - 1 (2)$ .

$- (y \frac{2}{3} + 2)$

$- (y \frac{2}{3} + 2)$

Step 3

Combine $y$ and $\frac{2}{3}$ .

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

Step 4

Move $2$ to the left of $y$ .

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

Step 5

Multiply $2$ by $y$ .

$- (\frac{2 y}{3} + 2)$

Step 6

Factor.

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Step 6.1

Factor $2$ out of $\frac{2 y}{3} + 2$ .

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Step 6.1.1

Factor $2$ out of $\frac{2 y}{3}$ .

$- (2 \frac{y}{3} + 2)$

Step 6.1.2

Factor $2$ out of $2$ .

$- (2 \frac{y}{3} + 2 (1))$

Step 6.1.3

Factor $2$ out of $2 \frac{y}{3} + 2 (1)$ .

$- (2 (\frac{y}{3} + 1))$

$- (2 (\frac{y}{3} + 1))$

Step 6.2

Remove unnecessary parentheses.

$- 1 \cdot 2 (\frac{y}{3} + 1)$

$- 1 \cdot 2 (\frac{y}{3} + 1)$

Step 7

Multiply $- 1$ by $2$ .

$- 2 (\frac{y}{3} + 1)$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$