Basic Math Examples

$6 y - 2 (y - 3) + 6$

Step 1

Factor $2$ out of $6 y - 2 (y - 3) + 6$ .

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Step 1.1

Factor $2$ out of $6 y$ .

$2 (3 y) - 2 (y - 3) + 6$

Step 1.2

Factor $2$ out of $- 2 (y - 3)$ .

$2 (3 y) + 2 (- (y - 3)) + 6$

Step 1.3

Factor $2$ out of $6$ .

$2 (3 y) + 2 (- (y - 3)) + 2 (3)$

Step 1.4

Factor $2$ out of $2 (3 y) + 2 (- (y - 3))$ .

$2 (3 y - (y - 3)) + 2 (3)$

Step 1.5

Factor $2$ out of $2 (3 y - (y - 3)) + 2 (3)$ .

$2 (3 y - (y - 3) + 3)$

$2 (3 y - (y - 3) + 3)$

Step 2

Apply the distributive property.

$2 (3 y - y - - 3 + 3)$

Step 3

Multiply $- 1$ by $- 3$ .

$2 (3 y - y + 3 + 3)$

Step 4

Subtract $y$ from $3 y$ .

$2 (2 y + 3 + 3)$

Step 5

Add $3$ and $3$ .

$2 (2 y + 6)$

Step 6

Factor.

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Step 6.1

Factor $2$ out of $2 y + 6$ .

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Step 6.1.1

Factor $2$ out of $2 y$ .

$2 (2 (y) + 6)$

Step 6.1.2

Factor $2$ out of $6$ .

$2 (2 y + 2 \cdot 3)$

Step 6.1.3

Factor $2$ out of $2 y + 2 \cdot 3$ .

$2 (2 (y + 3))$

$2 (2 (y + 3))$

Step 6.2

Remove unnecessary parentheses.

$2 \cdot 2 (y + 3)$

$2 \cdot 2 (y + 3)$

Step 7

Multiply $2$ by $2$ .

$4 (y + 3)$

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