Basic Math Examples

$- \frac{4}{7} \cdot (y + 21)$

Step 1

Simplify terms.

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Step 1.1

Apply the distributive property.

$- \frac{4}{7} y - \frac{4}{7} \cdot 21$

Step 1.2

Combine $y$ and $\frac{4}{7}$ .

$- \frac{y \cdot 4}{7} - \frac{4}{7} \cdot 21$

Step 1.3

Cancel the common factor of $7$ .

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Step 1.3.1

Move the leading negative in $- \frac{4}{7}$ into the numerator.

$- \frac{y \cdot 4}{7} + \frac{- 4}{7} \cdot 21$

Step 1.3.2

Factor $7$ out of $21$ .

$- \frac{y \cdot 4}{7} + \frac{- 4}{7} \cdot (7 (3))$

Step 1.3.3

Cancel the common factor.

$- \frac{y \cdot 4}{7} + \frac{- 4}{7} \cdot (7 \cdot 3)$

Step 1.3.4

Rewrite the expression.

$- \frac{y \cdot 4}{7} - 4 \cdot 3$

Step 1.4

Multiply $- 4$ by $3$ .

$- \frac{y \cdot 4}{7} - 12$

Step 2

Move $4$ to the left of $y$ .

$- \frac{4 y}{7} - 12$