Pre-Algebra Examples

$- 100 (0.19 x - y) = - 100 \cdot - 28.8$

Step 1

Solve for $y$ .

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Step 1.1

Multiply $- 100$ by $- 28.8$ .

$- 100 (0.19 x - y) = 2880$

Step 1.2

Divide each term in $- 100 (0.19 x - y) = 2880$ by $- 100$ and simplify.

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Step 1.2.1

Divide each term in $- 100 (0.19 x - y) = 2880$ by $- 100$ .

$\frac{- 100 (0.19 x - y)}{- 100} = \frac{2880}{- 100}$

Step 1.2.2

Simplify the left side.

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Step 1.2.2.1

Cancel the common factor of $- 100$ .

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Step 1.2.2.1.1

Cancel the common factor.

$\frac{- 100 (0.19 x - y)}{- 100} = \frac{2880}{- 100}$

Step 1.2.2.1.2

Divide $0.19 x - y$ by $1$ .

$0.19 x - y = \frac{2880}{- 100}$

Step 1.2.3

Simplify the right side.

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Step 1.2.3.1

Cancel the common factor of $2880$ and $- 100$ .

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Step 1.2.3.1.1

Factor $20$ out of $2880$ .

$0.19 x - y = \frac{20 (144)}{- 100}$

Step 1.2.3.1.2

Cancel the common factors.

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Step 1.2.3.1.2.1

Factor $20$ out of $- 100$ .

$0.19 x - y = \frac{20 \cdot 144}{20 \cdot - 5}$

Step 1.2.3.1.2.2

Cancel the common factor.

$0.19 x - y = \frac{20 \cdot 144}{20 \cdot - 5}$

Step 1.2.3.1.2.3

Rewrite the expression.

$0.19 x - y = \frac{144}{- 5}$

Step 1.2.3.2

Move the negative in front of the fraction.

$0.19 x - y = - \frac{144}{5}$

Step 1.3

Subtract $0.19 x$ from both sides of the equation.

$- y = - \frac{144}{5} - 0.19 x$

Step 1.4

Divide each term in $- y = - \frac{144}{5} - 0.19 x$ by $- 1$ and simplify.

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Step 1.4.1

Divide each term in $- y = - \frac{144}{5} - 0.19 x$ by $- 1$ .

$\frac{- y}{- 1} = \frac{- \frac{144}{5}}{- 1} + \frac{- 0.19 x}{- 1}$

Step 1.4.2

Simplify the left side.

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Step 1.4.2.1

Dividing two negative values results in a positive value.

$\frac{y}{1} = \frac{- \frac{144}{5}}{- 1} + \frac{- 0.19 x}{- 1}$

Step 1.4.2.2

Divide $y$ by $1$ .

$y = \frac{- \frac{144}{5}}{- 1} + \frac{- 0.19 x}{- 1}$

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

Dividing two negative values results in a positive value.

$y = \frac{\frac{144}{5}}{1} + \frac{- 0.19 x}{- 1}$

Step 1.4.3.1.2

Divide $\frac{144}{5}$ by $1$ .

$y = \frac{144}{5} + \frac{- 0.19 x}{- 1}$

Step 1.4.3.1.3

Move the negative one from the denominator of $\frac{- 0.19 x}{- 1}$ .

$y = \frac{144}{5} - 1 \cdot (- 0.19 x)$

Step 1.4.3.1.4

Rewrite $- 1 \cdot (- 0.19 x)$ as $- (- 0.19 x)$ .

$y = \frac{144}{5} - (- 0.19 x)$

Step 1.4.3.1.5

Multiply $- 0.19$ by $- 1$ .

$y = \frac{144}{5} + 0.19 x$

Step 2

Reorder $\frac{144}{5}$ and $0.19 x$ .

$y = 0.19 x + \frac{144}{5}$

Step 3