Basic Math Examples

$32 = y - 8 - 13 y$

Step 1

Rewrite the equation as $y - 8 - 13 y = 32$ .

$y - 8 - 13 y = 32$

Step 2

Subtract $13 y$ from $y$ .

$- 12 y - 8 = 32$

Step 3

Move all terms not containing $y$ to the right side of the equation.

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Step 3.1

Add $8$ to both sides of the equation.

$- 12 y = 32 + 8$

Step 3.2

Add $32$ and $8$ .

$- 12 y = 40$

$- 12 y = 40$

Step 4

Divide each term in $- 12 y = 40$ by $- 12$ and simplify.

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Step 4.1

Divide each term in $- 12 y = 40$ by $- 12$ .

$\frac{- 12 y}{- 12} = \frac{40}{- 12}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $- 12$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{- 12 y}{- 12} = \frac{40}{- 12}$

Step 4.2.1.2

Divide $y$ by $1$ .

$y = \frac{40}{- 12}$

$y = \frac{40}{- 12}$

$y = \frac{40}{- 12}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Cancel the common factor of $40$ and $- 12$ .

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Step 4.3.1.1

Factor $4$ out of $40$ .

$y = \frac{4 (10)}{- 12}$

Step 4.3.1.2

Cancel the common factors.

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Step 4.3.1.2.1

Factor $4$ out of $- 12$ .

$y = \frac{4 \cdot 10}{4 \cdot - 3}$

Step 4.3.1.2.2

Cancel the common factor.

$y = \frac{4 \cdot 10}{4 \cdot - 3}$

Step 4.3.1.2.3

Rewrite the expression.

$y = \frac{10}{- 3}$

$y = \frac{10}{- 3}$

$y = \frac{10}{- 3}$

Step 4.3.2

Move the negative in front of the fraction.

$y = - \frac{10}{3}$

$y = - \frac{10}{3}$

$y = - \frac{10}{3}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$y = - \frac{10}{3}$

Decimal Form:

$y = - 3.\overline{3}$

Mixed Number Form:

$y = - 3 \frac{1}{3}$

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