What is the answer to (3y-6)/(2y)= 17/3 ?

The answer to (3y-6)/(2y)= 17/3 is y=-18/25

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(3y-6)/(2y)= 17/3

\frac{3 y - 6}{2 y} = \frac{17}{3}

y = - \frac{18}{25}

Decimal Notation

y = - 0.72

Solution steps

\frac{3 y - 6}{2 y} = \frac{17}{3}

Cross multiply

9 y - 18 = 34 y

Move

18

to the right side

9 y = 34 y + 18

Move

34 y

to the left side

- 25 y = 18

Divide both sides by

- 25

y = - \frac{18}{25}

Verify Solutions

Find undefined (singularity) points:

y = 0

Combine undefined points with solutions:

y = - \frac{18}{25}

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

\frac{a}{x + a} = b

36 a^{- 2} + 77 a^{- 1} - 9 = 0

\frac{1}{x} - \frac{4}{x - 1} - 1 = 0

\frac{w}{10} - \frac{1}{2 w} = 0

What is the answer to (3y-6)/(2y)= 17/3 ?
The answer to (3y-6)/(2y)= 17/3 is y=-18/25
Solve for y: (3y-6)/(2y)= 17/3
The solution is y=-18/25