Pre-Algebra Examples

$- 4 y = 2 x + 3$

Step 1

Divide each term in $- 4 y = 2 x + 3$ by $- 4$ .

$\frac{- 4 y}{- 4} = \frac{2 x}{- 4} + \frac{3}{- 4}$

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.

$\frac{- 4 y}{- 4} = \frac{2 x}{- 4} + \frac{3}{- 4}$

Step 2.1.2

Divide $y$ by $1$ .

$y = \frac{2 x}{- 4} + \frac{3}{- 4}$

Step 3

Simplify the right side.

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Step 3.1

Simplify each term.

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Step 3.1.1

Cancel the common factor of $2$ and $- 4$ .

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Step 3.1.1.1

Factor $2$ out of $2 x$ .

$y = \frac{2 (x)}{- 4} + \frac{3}{- 4}$

Step 3.1.1.2

Cancel the common factors.

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Step 3.1.1.2.1

Factor $2$ out of $- 4$ .

$y = \frac{2 x}{2 \cdot - 2} + \frac{3}{- 4}$

Step 3.1.1.2.2

Cancel the common factor.

$y = \frac{2 x}{2 \cdot - 2} + \frac{3}{- 4}$

Step 3.1.1.2.3

Rewrite the expression.

$y = \frac{x}{- 2} + \frac{3}{- 4}$

Step 3.1.2

Move the negative in front of the fraction.

$y = - \frac{x}{2} + \frac{3}{- 4}$

Step 3.1.3

Move the negative in front of the fraction.

$y = - \frac{x}{2} - \frac{3}{4}$