Pre-Algebra Examples

$| 5 y + 15 | = 0$

Step 1

Remove the absolute value term. This creates a $\pm$ on the right side of the equation because $| x | = \pm x$ .

$5 y + 15 = \pm 0$

Step 2

Plus or minus $0$ is $0$ .

$5 y + 15 = 0$

Step 3

Subtract $15$ from both sides of the equation.

$5 y = - 15$

Step 4

Divide each term in $5 y = - 15$ by $5$ and simplify.

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Step 4.1

Divide each term in $5 y = - 15$ by $5$ .

$\frac{5 y}{5} = \frac{- 15}{5}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $5$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{5 y}{5} = \frac{- 15}{5}$

Step 4.2.1.2

Divide $y$ by $1$ .

$y = \frac{- 15}{5}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Divide $- 15$ by $5$ .

$y = - 3$