Pre-Algebra Examples

$4 (3 x - 3 y) = 4 (1)$

Step 1

Solve for $y$ .

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Step 1.1

Multiply $4$ by $1$ .

$4 (3 x - 3 y) = 4$

Step 1.2

Divide each term in $4 (3 x - 3 y) = 4$ by $4$ and simplify.

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Step 1.2.1

Divide each term in $4 (3 x - 3 y) = 4$ by $4$ .

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

Step 1.2.2

Simplify the left side.

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Step 1.2.2.1

Cancel the common factor of $4$ .

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Step 1.2.2.1.1

Cancel the common factor.

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

Step 1.2.2.1.2

Divide $3 x - 3 y$ by $1$ .

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

Step 1.2.3

Simplify the right side.

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Step 1.2.3.1

Divide $4$ by $4$ .

$3 x - 3 y = 1$

Step 1.3

Subtract $3 x$ from both sides of the equation.

$- 3 y = 1 - 3 x$

Step 1.4

Divide each term in $- 3 y = 1 - 3 x$ by $- 3$ and simplify.

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Step 1.4.1

Divide each term in $- 3 y = 1 - 3 x$ by $- 3$ .

$\frac{- 3 y}{- 3} = \frac{1}{- 3} + \frac{- 3 x}{- 3}$

Step 1.4.2

Simplify the left side.

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Step 1.4.2.1

Cancel the common factor of $- 3$ .

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Step 1.4.2.1.1

Cancel the common factor.

$\frac{- 3 y}{- 3} = \frac{1}{- 3} + \frac{- 3 x}{- 3}$

Step 1.4.2.1.2

Divide $y$ by $1$ .

$y = \frac{1}{- 3} + \frac{- 3 x}{- 3}$

Step 1.4.3

Simplify the right side.

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Step 1.4.3.1

Simplify each term.

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Step 1.4.3.1.1

Move the negative in front of the fraction.

$y = - \frac{1}{3} + \frac{- 3 x}{- 3}$

Step 1.4.3.1.2

Cancel the common factor of $- 3$ .

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Step 1.4.3.1.2.1

Cancel the common factor.

$y = - \frac{1}{3} + \frac{- 3 x}{- 3}$

Step 1.4.3.1.2.2

Divide $x$ by $1$ .

$y = - \frac{1}{3} + x$

Step 2

Reorder $- \frac{1}{3}$ and $x$ .

$y = x - \frac{1}{3}$

Step 3