Finite Math Examples

$- 4 (3 y - 9) - y = - 4 (y - 3)$

Step 1

Simplify $- 4 (3 y - 9) - y$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$- 4 (3 y) - 4 \cdot - 9 - y = - 4 (y - 3)$

Step 1.1.2

Multiply $3$ by $- 4$ .

$- 12 y - 4 \cdot - 9 - y = - 4 (y - 3)$

Step 1.1.3

Multiply $- 4$ by $- 9$ .

$- 12 y + 36 - y = - 4 (y - 3)$

$- 12 y + 36 - y = - 4 (y - 3)$

Step 1.2

Subtract $y$ from $- 12 y$ .

$- 13 y + 36 = - 4 (y - 3)$

$- 13 y + 36 = - 4 (y - 3)$

Step 2

Simplify $- 4 (y - 3)$ .

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Step 2.1

Apply the distributive property.

$- 13 y + 36 = - 4 y - 4 \cdot - 3$

Step 2.2

Multiply $- 4$ by $- 3$ .

$- 13 y + 36 = - 4 y + 12$

$- 13 y + 36 = - 4 y + 12$

Step 3

Move all terms containing $y$ to the left side of the equation.

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Step 3.1

Add $4 y$ to both sides of the equation.

$- 13 y + 36 + 4 y = 12$

Step 3.2

Add $- 13 y$ and $4 y$ .

$- 9 y + 36 = 12$

$- 9 y + 36 = 12$

Step 4

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

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Step 4.1

Subtract $36$ from both sides of the equation.

$- 9 y = 12 - 36$

Step 4.2

Subtract $36$ from $12$ .

$- 9 y = - 24$

$- 9 y = - 24$

Step 5

Divide each term in $- 9 y = - 24$ by $- 9$ and simplify.

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Step 5.1

Divide each term in $- 9 y = - 24$ by $- 9$ .

$\frac{- 9 y}{- 9} = \frac{- 24}{- 9}$

Step 5.2

Simplify the left side.

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Step 5.2.1

Cancel the common factor of $- 9$ .

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Step 5.2.1.1

Cancel the common factor.

$\frac{- 9 y}{- 9} = \frac{- 24}{- 9}$

Step 5.2.1.2

Divide $y$ by $1$ .

$y = \frac{- 24}{- 9}$

$y = \frac{- 24}{- 9}$

$y = \frac{- 24}{- 9}$

Step 5.3

Simplify the right side.

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Step 5.3.1

Cancel the common factor of $- 24$ and $- 9$ .

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Step 5.3.1.1

Factor $- 3$ out of $- 24$ .

$y = \frac{- 3 (8)}{- 9}$

Step 5.3.1.2

Cancel the common factors.

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Step 5.3.1.2.1

Factor $- 3$ out of $- 9$ .

$y = \frac{- 3 \cdot 8}{- 3 \cdot 3}$

Step 5.3.1.2.2

Cancel the common factor.

$y = \frac{- 3 \cdot 8}{- 3 \cdot 3}$

Step 5.3.1.2.3

Rewrite the expression.

$y = \frac{8}{3}$

$y = \frac{8}{3}$

$y = \frac{8}{3}$

$y = \frac{8}{3}$

$y = \frac{8}{3}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$y = \frac{8}{3}$

Decimal Form:

$y = 2.\overline{6}$

Mixed Number Form:

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

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