Finite Math Examples

$- 4 y = - 5 x - 18$

Step 1

Divide each term in $- 4 y = - 5 x - 18$ by $- 4$ .

$\frac{- 4 y}{- 4} = \frac{- 5 x}{- 4} + \frac{- 18}{- 4}$

Step 2

Simplify the left side.

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Step 2.1

Cancel the common factor of $- 4$ .

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Step 2.1.1

Cancel the common factor.

$\frac{- 4 y}{- 4} = \frac{- 5 x}{- 4} + \frac{- 18}{- 4}$

Step 2.1.2

Divide $y$ by $1$ .

$y = \frac{- 5 x}{- 4} + \frac{- 18}{- 4}$

Step 3

Simplify the right side.

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Step 3.1

Simplify each term.

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Step 3.1.1

Dividing two negative values results in a positive value.

$y = \frac{5 x}{4} + \frac{- 18}{- 4}$

Step 3.1.2

Cancel the common factor of $- 18$ and $- 4$ .

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Step 3.1.2.1

Factor $- 2$ out of $- 18$ .

$y = \frac{5 x}{4} + \frac{- 2 (9)}{- 4}$

Step 3.1.2.2

Cancel the common factors.

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Step 3.1.2.2.1

Factor $- 2$ out of $- 4$ .

$y = \frac{5 x}{4} + \frac{- 2 \cdot 9}{- 2 \cdot 2}$

Step 3.1.2.2.2

Cancel the common factor.

$y = \frac{5 x}{4} + \frac{- 2 \cdot 9}{- 2 \cdot 2}$

Step 3.1.2.2.3

Rewrite the expression.

$y = \frac{5 x}{4} + \frac{9}{2}$