What is the answer to (-5)/(2y)=5 ?

The answer to (-5)/(2y)=5 is y=-1/2

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(-5)/(2y)=5

\frac{- 5}{2 y} = 5

y = - \frac{1}{2}

Decimal Notation

y = - 0.5

Solution steps

\frac{- 5}{2 y} = 5

Simplify

\frac{- 5}{2 y} : - \frac{5}{2 y}

- \frac{5}{2 y} = 5

Multiply both sides by

y

- \frac{5}{2} = 5 y

Switch sides

5 y = - \frac{5}{2}

Divide both sides by

5

y = - \frac{1}{2}

Verify Solutions

Find undefined (singularity) points:

y = 0

Combine undefined points with solutions:

y = - \frac{1}{2}

2.94 = \frac{( 2 x ) ^{2}}{( 0.2 - x )}

\frac{5000}{x ^{2}} - 2 = 0

y, \frac{1}{y - 1} = x

0 = \frac{1}{x + 2}

\frac{2}{3.2} = \frac{6}{x}