What is the answer to 2(2/(3*y+3))+2(y+5)=130 ?

The answer to 2(2/(3*y+3))+2(y+5)=130 is y=(177+sqrt(33465))/6 ,y=(177-sqrt(33465))/6

Solve for y: 2(2/(3*y+3))+2(y+5)=130

The solution is y=(177+sqrt(33465))/6 ,y=(177-sqrt(33465))/6

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2 (\frac{2}{3 \cdot y + 3}) + 2 (y + 5) = 130

y = \frac{177 + 33465}{6}, y = \frac{177 - 33465}{6}

Decimal Notation

y = 59.98906 \dots, y = - 0.98906 \dots

Solution steps

2 (\frac{2}{3 y + 3}) + 2 (y + 5) = 130

Simplify

2 (\frac{2}{3 y + 3}) : \frac{4}{3 y + 3}

\frac{4}{3 y + 3} + 2 (y + 5) = 130

Multiply both sides by

3 y + 3

4 + 2 (y + 5) (3 y + 3) = 130 (3 y + 3)

Solve

4 + 2 (y + 5) (3 y + 3) = 130 (3 y + 3) : y = \frac{177 + 33465}{6}, y = \frac{177 - 33465}{6}

y = \frac{177 + 33465}{6}, y = \frac{177 - 33465}{6}

Verify Solutions

Find undefined (singularity) points:

y = - 1

Combine undefined points with solutions:

y = \frac{177 + 33465}{6}, y = \frac{177 - 33465}{6}

\frac{( 25 x ^{3} )}{( ( x + 1 ) ^{2} )} = 64

(1) 2 \cdot (\frac{x + 1}{x})^{2} - 3 (\frac{x - 1}{x}) - 8 = 0

\frac{x}{3 \cdot x} = 9^{2}

\frac{3}{( x - 2 )} + \frac{4}{( x + 2 )} = \frac{( 7 x - 2 )}{( x ^{2} - 4 )}

\frac{( 2.5 x + 4 )}{( 1.2 x + 8 )} = \frac{5}{4}

What is the answer to 2(2/(3*y+3))+2(y+5)=130 ?
The answer to 2(2/(3*y+3))+2(y+5)=130 is y=(177+sqrt(33465))/6 ,y=(177-sqrt(33465))/6
Solve for y: 2(2/(3*y+3))+2(y+5)=130
The solution is y=(177+sqrt(33465))/6 ,y=(177-sqrt(33465))/6