What is the answer to y/2-4/y =1 ?

The answer to y/2-4/y =1 is y=4,y=-2

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y/2-4/y =1

\frac{y}{2} - \frac{4}{y} = 1

y = 4, y = - 2

Solution steps

\frac{y}{2} - \frac{4}{y} = 1

Multiply by LCM

y^{2} - 8 = 2 y

Solve

y^{2} - 8 = 2 y : y = 4, y = - 2

y = 4, y = - 2

Verify Solutions

Find undefined (singularity) points:

y = 0

Combine undefined points with solutions:

y = 4, y = - 2

x, z = \frac{y}{x}

\frac{4 p}{7 - p} = 1

\frac{3 x - 2}{7 x} = 0

y, x = y^{- 2}

x, \frac{2}{x} - y = 3