Basic Math Examples

$- 3 \cdot (4 y) = 8$

Step 1

Multiply $4$ by $- 3$ .

$- 12 \cdot y = 8$

Step 2

Divide each term in $- 12 \cdot y = 8$ by $- 12$ and simplify.

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Step 2.1

Divide each term in $- 12 \cdot y = 8$ by $- 12$ .

$\frac{- 12 \cdot y}{- 12} = \frac{8}{- 12}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $- 12$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{- 12 \cdot y}{- 12} = \frac{8}{- 12}$

Step 2.2.1.2

Divide $y$ by $1$ .

$y = \frac{8}{- 12}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Cancel the common factor of $8$ and $- 12$ .

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Step 2.3.1.1

Factor $4$ out of $8$ .

$y = \frac{4 (2)}{- 12}$

Step 2.3.1.2

Cancel the common factors.

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Step 2.3.1.2.1

Factor $4$ out of $- 12$ .

$y = \frac{4 \cdot 2}{4 \cdot - 3}$

Step 2.3.1.2.2

Cancel the common factor.

$y = \frac{4 \cdot 2}{4 \cdot - 3}$

Step 2.3.1.2.3

Rewrite the expression.

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

Step 2.3.2

Move the negative in front of the fraction.

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

Step 3

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$y = - 0.\overline{6}$