What is the answer to (3y+5)/(6y-4)= 3/4 ?

The answer to (3y+5)/(6y-4)= 3/4 is y= 16/3

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(3y+5)/(6y-4)= 3/4

\frac{3 y + 5}{6 y - 4} = \frac{3}{4}

y = \frac{16}{3}

Decimal Notation

y = 5.33333 \dots

Solution steps

\frac{3 y + 5}{6 y - 4} = \frac{3}{4}

Cross multiply

12 y + 20 = 18 y - 12

Move

20

to the right side

12 y = 18 y - 32

Move

18 y

to the left side

- 6 y = - 32

Divide both sides by

- 6

y = \frac{16}{3}

Verify Solutions

Find undefined (singularity) points:

y = \frac{2}{3}

Combine undefined points with solutions:

y = \frac{16}{3}

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

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

\frac{x ^{2} - 4 x}{x - 2} = \frac{14 - 9 x}{x - 2}

\frac{x - 12}{3 - x} = \frac{x + 4}{x + 7}

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

What is the answer to (3y+5)/(6y-4)= 3/4 ?
The answer to (3y+5)/(6y-4)= 3/4 is y= 16/3
Solve for y: (3y+5)/(6y-4)= 3/4
The solution is y= 16/3