Pre-Algebra Examples

$- \frac{1}{3} \cdot (3 y - 6) + 4 (y + 3)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$- \frac{1}{3} (3 y) - \frac{1}{3} \cdot - 6 + 4 (y + 3)$

Step 1.2

Cancel the common factor of $3$ .

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Step 1.2.1

Move the leading negative in $- \frac{1}{3}$ into the numerator.

$\frac{- 1}{3} (3 y) - \frac{1}{3} \cdot - 6 + 4 (y + 3)$

Step 1.2.2

Factor $3$ out of $3 y$ .

$\frac{- 1}{3} (3 (y)) - \frac{1}{3} \cdot - 6 + 4 (y + 3)$

Step 1.2.3

Cancel the common factor.

$\frac{- 1}{3} (3 y) - \frac{1}{3} \cdot - 6 + 4 (y + 3)$

Step 1.2.4

Rewrite the expression.

$- 1 y - \frac{1}{3} \cdot - 6 + 4 (y + 3)$

Step 1.3

Cancel the common factor of $3$ .

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Step 1.3.1

Move the leading negative in $- \frac{1}{3}$ into the numerator.

$- 1 y + \frac{- 1}{3} \cdot - 6 + 4 (y + 3)$

Step 1.3.2

Factor $3$ out of $- 6$ .

$- 1 y + \frac{- 1}{3} \cdot (3 (- 2)) + 4 (y + 3)$

Step 1.3.3

Cancel the common factor.

$- 1 y + \frac{- 1}{3} \cdot (3 \cdot - 2) + 4 (y + 3)$

Step 1.3.4

Rewrite the expression.

$- 1 y - 1 \cdot - 2 + 4 (y + 3)$

Step 1.4

Multiply $- 1$ by $- 2$ .

$- 1 y + 2 + 4 (y + 3)$

Step 1.5

Rewrite $- 1 y$ as $- y$ .

$- y + 2 + 4 (y + 3)$

Step 1.6

Apply the distributive property.

$- y + 2 + 4 y + 4 \cdot 3$

Step 1.7

Multiply $4$ by $3$ .

$- y + 2 + 4 y + 12$

Step 2

Simplify by adding terms.

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Step 2.1

Add $- y$ and $4 y$ .

$3 y + 2 + 12$

Step 2.2

Add $2$ and $12$ .

$3 y + 14$