Basic Math Examples

$3 \cdot (- 2 y) = 7$

Step 1

Multiply $- 2$ by $3$ .

$- 6 \cdot y = 7$

Step 2

Divide each term in $- 6 \cdot y = 7$ by $- 6$ and simplify.

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Step 2.1

Divide each term in $- 6 \cdot y = 7$ by $- 6$ .

$\frac{- 6 \cdot y}{- 6} = \frac{7}{- 6}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $- 6$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{- 6 \cdot y}{- 6} = \frac{7}{- 6}$

Step 2.2.1.2

Divide $y$ by $1$ .

$y = \frac{7}{- 6}$

$y = \frac{7}{- 6}$

$y = \frac{7}{- 6}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Move the negative in front of the fraction.

$y = - \frac{7}{6}$

$y = - \frac{7}{6}$

$y = - \frac{7}{6}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$y = - \frac{7}{6}$

Decimal Form:

$y = - 1.1\overline{6}$

Mixed Number Form:

$y = - 1 \frac{1}{6}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$