What is the answer to (y+8)/(2y-5)=1 ?

The answer to (y+8)/(2y-5)=1 is y=13

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(y+8)/(2y-5)=1

\frac{y + 8}{2 y - 5} = 1

y = 13

Solution steps

\frac{y + 8}{2 y - 5} = 1

Multiply both sides by

2 y - 5

y + 8 = 2 y - 5

Move

8

to the right side

y = 2 y - 13

Move

2 y

to the left side

- y = - 13

Divide both sides by

- 1

y = 13

Verify Solutions

Find undefined (singularity) points:

y = \frac{5}{2}

Combine undefined points with solutions:

y = 13

x^{- 2} - 7 x^{- 1} + 10 = 0

\frac{2}{t} - 1 = 5 - \frac{1}{t}

\frac{3}{x + 3} = 12

\frac{2}{x} = \frac{8}{12}

\frac{3}{4} = \frac{5}{x}