Basic Math Examples

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

Step 1

Simplify terms.

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Step 1.1

Apply the distributive property.

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

Step 1.2

Cancel the common factor of $3$ .

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Step 1.2.1

Factor $3$ out of $3 y$ .

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

Step 1.2.2

Cancel the common factor.

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

Step 1.2.3

Rewrite the expression.

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

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

Step 1.3

Cancel the common factor of $3$ .

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Step 1.3.1

Factor $3$ out of $- 3$ .

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

Step 1.3.2

Cancel the common factor.

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

Step 1.3.3

Rewrite the expression.

$y \cdot 2 - 1 \cdot 2$

$y \cdot 2 - 1 \cdot 2$

Step 1.4

Multiply $- 1$ by $2$ .

$y \cdot 2 - 2$

$y \cdot 2 - 2$

Step 2

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

$2 y - 2$

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