Pre-Algebra Examples

$y = - 4 x - 5$

Step 1

Rewrite the equation as $- 4 x - 5 = y$ .

$- 4 x - 5 = y$

Step 2

Add $5$ to both sides of the equation.

$- 4 x = y + 5$

Step 3

Divide each term in $- 4 x = y + 5$ by $- 4$ and simplify.

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Step 3.1

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

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

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $- 4$ .

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Step 3.2.1.1

Cancel the common factor.

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

Step 3.2.1.2

Divide $x$ by $1$ .

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

Step 3.3

Simplify the right side.

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Step 3.3.1

Simplify each term.

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Step 3.3.1.1

Move the negative in front of the fraction.

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

Step 3.3.1.2

Move the negative in front of the fraction.

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