What is the answer to 8/3 =(y-9)/(7y+4) ?

The answer to 8/3 =(y-9)/(7y+4) is y=-59/53

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8/3 =(y-9)/(7y+4)

\frac{8}{3} = \frac{y - 9}{7 y + 4}

y = - \frac{59}{53}

Decimal Notation

y = - 1.11320 \dots

Solution steps

\frac{8}{3} = \frac{y - 9}{7 y + 4}

Cross multiply

56 y + 32 = 3 y - 27

Move

32

to the right side

56 y = 3 y - 59

Move

3 y

to the left side

53 y = - 59

Divide both sides by

53

y = - \frac{59}{53}

Verify Solutions

Find undefined (singularity) points:

y = - \frac{4}{7}

Combine undefined points with solutions:

y = - \frac{59}{53}

y^{- 2} + 2 y^{- 1} - 15 = 0

\frac{4 x + 1}{2 ( 8 x + 6 )} = 2 (4 x + 3)

0.00005 = \frac{8}{x ^{4}}

x, y = - \frac{y}{x}

\frac{3 x - 5}{2 x ^{2} - x - 3} = 0

What is the answer to 8/3 =(y-9)/(7y+4) ?
The answer to 8/3 =(y-9)/(7y+4) is y=-59/53
Solve for y: 8/3 =(y-9)/(7y+4)
The solution is y=-59/53