Algebra Examples

$\frac{2}{3} y - 2 (\frac{4}{3} y + z)$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

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

$\frac{2 y}{3} - 2 (\frac{4}{3} y + z)$

Step 1.2

Combine $\frac{4}{3}$ and $y$ .

$\frac{2 y}{3} - 2 (\frac{4 y}{3} + z)$

Step 1.3

Apply the distributive property.

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

Step 1.4

Multiply $- 2 \frac{4 y}{3}$ .

Tap for more steps...

Step 1.4.1

Combine $- 2$ and $\frac{4 y}{3}$ .

$\frac{2 y}{3} + \frac{- 2 (4 y)}{3} - 2 z$

Step 1.4.2

Multiply $4$ by $- 2$ .

$\frac{2 y}{3} + \frac{- 8 y}{3} - 2 z$

$\frac{2 y}{3} + \frac{- 8 y}{3} - 2 z$

Step 1.5

Move the negative in front of the fraction.

$\frac{2 y}{3} - \frac{8 y}{3} - 2 z$

$\frac{2 y}{3} - \frac{8 y}{3} - 2 z$

Step 2

Simplify terms.

Tap for more steps...

Step 2.1

Combine the numerators over the common denominator.

$- 2 z + \frac{2 y - 8 y}{3}$

Step 2.2

Subtract $8 y$ from $2 y$ .

$- 2 z + \frac{- 6 y}{3}$

Step 2.3

Cancel the common factor of $- 6$ and $3$ .

Tap for more steps...

Step 2.3.1

Factor $3$ out of $- 6 y$ .

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

Step 2.3.2

Cancel the common factors.

Tap for more steps...

Step 2.3.2.1

Factor $3$ out of $3$ .

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

Step 2.3.2.2

Cancel the common factor.

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

Step 2.3.2.3

Rewrite the expression.

$- 2 z + \frac{- 2 y}{1}$

Step 2.3.2.4

Divide $- 2 y$ by $1$ .

$- 2 z - 2 y$

$- 2 z - 2 y$

$- 2 z - 2 y$

$- 2 z - 2 y$

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