Basic Math Examples

$- \frac{1}{2} \cdot (8 y - 10)$

Step 1

Apply the distributive property.

$- \frac{1}{2} (8 y) - \frac{1}{2} \cdot - 10$

Step 2

Cancel the common factor of $2$ .

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Step 2.1

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

$\frac{- 1}{2} (8 y) - \frac{1}{2} \cdot - 10$

Step 2.2

Factor $2$ out of $8 y$ .

$\frac{- 1}{2} (2 (4 y)) - \frac{1}{2} \cdot - 10$

Step 2.3

Cancel the common factor.

$\frac{- 1}{2} (2 (4 y)) - \frac{1}{2} \cdot - 10$

Step 2.4

Rewrite the expression.

$- 1 (4 y) - \frac{1}{2} \cdot - 10$

Step 3

Multiply $4$ by $- 1$ .

$- 4 y - \frac{1}{2} \cdot - 10$

Step 4

Cancel the common factor of $2$ .

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Step 4.1

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

$- 4 y + \frac{- 1}{2} \cdot - 10$

Step 4.2

Factor $2$ out of $- 10$ .

$- 4 y + \frac{- 1}{2} \cdot (2 (- 5))$

Step 4.3

Cancel the common factor.

$- 4 y + \frac{- 1}{2} \cdot (2 \cdot - 5)$

Step 4.4

Rewrite the expression.

$- 4 y - 1 \cdot - 5$

Step 5

Multiply $- 1$ by $- 5$ .

$- 4 y + 5$