Finite Math Examples

$- 3 y + 9 + y = 13 - 8 y$

Step 1

Add $- 3 y$ and $y$ .

$- 2 y + 9 = 13 - 8 y$

Step 2

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

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Step 2.1

Add $8 y$ to both sides of the equation.

$- 2 y + 9 + 8 y = 13$

Step 2.2

Add $- 2 y$ and $8 y$ .

$6 y + 9 = 13$

Step 3

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

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Step 3.1

Subtract $9$ from both sides of the equation.

$6 y = 13 - 9$

Step 3.2

Subtract $9$ from $13$ .

$6 y = 4$

Step 4

Divide each term in $6 y = 4$ by $6$ and simplify.

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Step 4.1

Divide each term in $6 y = 4$ by $6$ .

$\frac{6 y}{6} = \frac{4}{6}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $6$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{6 y}{6} = \frac{4}{6}$

Step 4.2.1.2

Divide $y$ by $1$ .

$y = \frac{4}{6}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Cancel the common factor of $4$ and $6$ .

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Step 4.3.1.1

Factor $2$ out of $4$ .

$y = \frac{2 (2)}{6}$

Step 4.3.1.2

Cancel the common factors.

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Step 4.3.1.2.1

Factor $2$ out of $6$ .

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

Step 4.3.1.2.2

Cancel the common factor.

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

Step 4.3.1.2.3

Rewrite the expression.

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

Step 5

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$y = 0.\overline{6}$