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

The answer to 1-y/(y-5)=-3 is y= 20/3

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1-y/(y-5)=-3

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

y = \frac{20}{3}

Decimal Notation

y = 6.66666 \dots

Solution steps

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

Move

1

to the right side

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

Multiply both sides by

y - 5

- y = - 4 (y - 5)

Expand

- 4 (y - 5) : - 4 y + 20

- y = - 4 y + 20

Move

4 y

to the left side

3 y = 20

Divide both sides by

3

y = \frac{20}{3}

Verify Solutions

Find undefined (singularity) points:

y = 5

Combine undefined points with solutions:

y = \frac{20}{3}

2 - \frac{1}{x - 3} = 3

\frac{6}{8} = \frac{3}{x}

\frac{3 x - 1}{6 x + 2} = 4

\frac{3 x}{x + 1} = 8 - \frac{3}{x + 1}

\frac{x + 7}{x - 2} = \frac{2}{x}