What is the answer to 8/y = 2/(y-2)+1 ?

The answer to 8/y = 2/(y-2)+1 is y=4

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8/y = 2/(y-2)+1

\frac{8}{y} = \frac{2}{y - 2} + 1

y = 4

Solution steps

\frac{8}{y} = \frac{2}{y - 2} + 1

Multiply by LCM

8 (y - 2) = 2 y + y (y - 2)

Solve

8 (y - 2) = 2 y + y (y - 2) : y = 4

y = 4

Verify Solutions

Find undefined (singularity) points:

y = 0, y = 2

Combine undefined points with solutions:

y = 4

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\frac{1}{x - 1} + 2 x = 16 x + 5