What is the answer to 3/y-4/5 =-1/5 ?

The answer to 3/y-4/5 =-1/5 is y=5

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3/y-4/5 =-1/5

\frac{3}{y} - \frac{4}{5} = - \frac{1}{5}

y = 5

Solution steps

\frac{3}{y} - \frac{4}{5} = - \frac{1}{5}

Multiply by LCM

15 - 4 y = - y

Move

15

to the right side

- 4 y = - y - 15

Move

y

to the left side

- 3 y = - 15

Divide both sides by

- 3

y = 5

Verify Solutions

Find undefined (singularity) points:

y = 0

Combine undefined points with solutions:

y = 5

- \frac{1}{5} + \frac{5}{6 x} = - \frac{1}{4 x}

\frac{x - 3}{x + 5} = \frac{x - 5}{x + 3}

1 + \frac{7}{x - 4} = \frac{2}{x ^{2} - 16}

4 x - \frac{4}{x ^{2}} = 0

\frac{6}{x ^{2}} - \frac{40}{x} = 14