Finite Math Examples

$(y - 7) - (y + 7) = 9 y$

Step 1

Move all terms to the left side of the equation and simplify.

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Step 1.1

Simplify the left side.

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Step 1.1.1

Simplify $(y - 7) - (y + 7)$ .

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Step 1.1.1.1

Simplify each term.

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Step 1.1.1.1.1

Apply the distributive property.

$y - 7 - y - 1 \cdot 7 = 9 y$

Step 1.1.1.1.2

Multiply $- 1$ by $7$ .

$y - 7 - y - 7 = 9 y$

$y - 7 - y - 7 = 9 y$

Step 1.1.1.2

Simplify by adding terms.

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Step 1.1.1.2.1

Combine the opposite terms in $y - 7 - y - 7$ .

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Step 1.1.1.2.1.1

Subtract $y$ from $y$ .

$0 - 7 - 7 = 9 y$

Step 1.1.1.2.1.2

Subtract $7$ from $0$ .

$- 7 - 7 = 9 y$

$- 7 - 7 = 9 y$

Step 1.1.1.2.2

Subtract $7$ from $- 7$ .

$- 14 = 9 y$

$- 14 = 9 y$

$- 14 = 9 y$

$- 14 = 9 y$

Step 1.2

Subtract $9 y$ from both sides of the equation.

$- 14 - 9 y = 0$

$- 14 - 9 y = 0$

Step 2

Add $14$ to both sides of the equation.

$- 9 y = 14$

Step 3

Divide each term in $- 9 y = 14$ by $- 9$ and simplify.

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Step 3.1

Divide each term in $- 9 y = 14$ by $- 9$ .

$\frac{- 9 y}{- 9} = \frac{14}{- 9}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $- 9$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{- 9 y}{- 9} = \frac{14}{- 9}$

Step 3.2.1.2

Divide $y$ by $1$ .

$y = \frac{14}{- 9}$

$y = \frac{14}{- 9}$

$y = \frac{14}{- 9}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Move the negative in front of the fraction.

$y = - \frac{14}{9}$

$y = - \frac{14}{9}$

$y = - \frac{14}{9}$

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