What is the answer to (y+4)/(3y-8)=1 ?

The answer to (y+4)/(3y-8)=1 is y=6

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(y+4)/(3y-8)=1

\frac{y + 4}{3 y - 8} = 1

y = 6

Solution steps

\frac{y + 4}{3 y - 8} = 1

Multiply both sides by

3 y - 8

y + 4 = 3 y - 8

Move

4

to the right side

y = 3 y - 12

Move

3 y

to the left side

- 2 y = - 12

Divide both sides by

- 2

y = 6

Verify Solutions

Find undefined (singularity) points:

y = \frac{8}{3}

Combine undefined points with solutions:

y = 6

(8 + x)^{- 3} = 64

1 - \frac{8}{x ^{3}} = 0

x^{- 2} + 2 x^{- 1} - 8 = 0

2 - \frac{1}{7 x} = \frac{10}{7}

\frac{x}{2 x + 7} = \frac{x - 5}{x - 1}