Algebra Examples

$- \frac{1}{2} (- 3 y + 10)$

Step 1

Apply the distributive property.

$- \frac{1}{2} (- 3 y) - \frac{1}{2} \cdot 10$

Step 2

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

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Step 2.1

Multiply $- 3$ by $- 1$ .

$3 (\frac{1}{2}) y - \frac{1}{2} \cdot 10$

Step 2.2

Combine $3$ and $\frac{1}{2}$ .

$\frac{3}{2} y - \frac{1}{2} \cdot 10$

Step 2.3

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

$\frac{3 y}{2} - \frac{1}{2} \cdot 10$

Step 3

Cancel the common factor of $2$ .

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Step 3.1

Move the leading negative in $- \frac{1}{2}$ into the numerator.

$\frac{3 y}{2} + \frac{- 1}{2} \cdot 10$

Step 3.2

Factor $2$ out of $10$ .

$\frac{3 y}{2} + \frac{- 1}{2} \cdot (2 (5))$

Step 3.3

Cancel the common factor.

$\frac{3 y}{2} + \frac{- 1}{2} \cdot (2 \cdot 5)$

Step 3.4

Rewrite the expression.

$\frac{3 y}{2} - 1 \cdot 5$

Step 4

Multiply $- 1$ by $5$ .

$\frac{3 y}{2} - 5$

Step 5

To write $- 5$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

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

Step 6

Combine $- 5$ and $\frac{2}{2}$ .

$\frac{3 y}{2} + \frac{- 5 \cdot 2}{2}$

Step 7

Combine the numerators over the common denominator.

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

Step 8

Multiply $- 5$ by $2$ .

$\frac{3 y - 10}{2}$