Basic Math Examples

$- | y | = 5$

Step 1

Divide each term in $- | y | = 5$ by $- 1$ and simplify.

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Step 1.1

Divide each term in $- | y | = 5$ by $- 1$ .

$\frac{- | y |}{- 1} = \frac{5}{- 1}$

Step 1.2

Simplify the left side.

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Step 1.2.1

Dividing two negative values results in a positive value.

$\frac{| y |}{1} = \frac{5}{- 1}$

Step 1.2.2

Divide $| y |$ by $1$ .

$| y | = \frac{5}{- 1}$

Step 1.3

Simplify the right side.

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Step 1.3.1

Divide $5$ by $- 1$ .

$| y | = - 5$

Step 2

There is no value of $y$ that makes the equation be true since an absolute value can never be negative.

No solution