What is the answer to y/(7y-4+3y+6)=9y+8 ?

The answer to y/(7y-4+3y+6)=9y+8 is y=(-97+sqrt(3649))/(180),y=(-97-sqrt(3649))/(180)

Solve for y: y/(7y-4+3y+6)=9y+8

The solution is y=(-97+sqrt(3649))/(180),y=(-97-sqrt(3649))/(180)

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\frac{y}{7 y - 4 + 3 y + 6} = 9 y + 8

y = \frac{- 97 + 3649}{180}, y = \frac{- 97 - 3649}{180}

Decimal Notation

y = - 0.20329 \dots, y = - 0.87448 \dots

Solution steps

\frac{y}{7 y - 4 + 3 y + 6} = 9 y + 8

Simplify

\frac{y}{7 y - 4 + 3 y + 6} : \frac{y}{10 y + 2}

\frac{y}{10 y + 2} = 9 y + 8

Multiply both sides by

10 y + 2

y = 9 y (10 y + 2) + 8 (10 y + 2)

Solve

y = 9 y (10 y + 2) + 8 (10 y + 2) : y = \frac{- 97 + 3649}{180}, y = \frac{- 97 - 3649}{180}

y = \frac{- 97 + 3649}{180}, y = \frac{- 97 - 3649}{180}

Verify Solutions

Find undefined (singularity) points:

y = - \frac{1}{5}

Combine undefined points with solutions:

y = \frac{- 97 + 3649}{180}, y = \frac{- 97 - 3649}{180}

\frac{5}{6} = r - \frac{6}{r} 3

- 4 (2 - x)^{- 2} = 0

\frac{x}{x + 1} = \frac{8}{7}

\frac{1}{2 x - 3} = \frac{2}{2 x - 5}

\frac{( 2 x ^{2} )}{192 - x ^{2}} = 1

What is the answer to y/(7y-4+3y+6)=9y+8 ?
The answer to y/(7y-4+3y+6)=9y+8 is y=(-97+sqrt(3649))/(180),y=(-97-sqrt(3649))/(180)
Solve for y: y/(7y-4+3y+6)=9y+8
The solution is y=(-97+sqrt(3649))/(180),y=(-97-sqrt(3649))/(180)