Basic Math Examples

$- 6 y = 27$

Step 1

Divide each term in $- 6 y = 27$ by $- 6$ .

$\frac{- 6 y}{- 6} = \frac{27}{- 6}$

Step 2

Simplify the left side.

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Step 2.1

Cancel the common factor of $- 6$ .

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Step 2.1.1

Cancel the common factor.

$\frac{- 6 y}{- 6} = \frac{27}{- 6}$

Step 2.1.2

Divide $y$ by $1$ .

$y = \frac{27}{- 6}$

$y = \frac{27}{- 6}$

$y = \frac{27}{- 6}$

Step 3

Simplify the right side.

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Step 3.1

Cancel the common factor of $27$ and $- 6$ .

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Step 3.1.1

Factor $3$ out of $27$ .

$y = \frac{3 (9)}{- 6}$

Step 3.1.2

Cancel the common factors.

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Step 3.1.2.1

Factor $3$ out of $- 6$ .

$y = \frac{3 \cdot 9}{3 \cdot - 2}$

Step 3.1.2.2

Cancel the common factor.

$y = \frac{3 \cdot 9}{3 \cdot - 2}$

Step 3.1.2.3

Rewrite the expression.

$y = \frac{9}{- 2}$

$y = \frac{9}{- 2}$

$y = \frac{9}{- 2}$

Step 3.2

Move the negative in front of the fraction.

$y = - \frac{9}{2}$

$y = - \frac{9}{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$y = - \frac{9}{2}$

Decimal Form:

$y = - 4.5$

Mixed Number Form:

$y = - 4 \frac{1}{2}$

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