What is the answer to (5y)/(2(y-6))=4(y+1)-2 ?

The answer to (5y)/(2(y-6))=4(y+1)-2 is y=(49+sqrt(3169))/(16),y=(49-sqrt(3169))/(16)

Solve for y: (5y)/(2(y-6))=4(y+1)-2

The solution is y=(49+sqrt(3169))/(16),y=(49-sqrt(3169))/(16)

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\frac{5 y}{2 ( y - 6 )} = 4 (y + 1) - 2

y = \frac{49 + 3169}{16}, y = \frac{49 - 3169}{16}

Decimal Notation

y = 6.58086 \dots, y = - 0.45586 \dots

Solution steps

\frac{5 y}{2 ( y - 6 )} = 4 (y + 1) - 2

Multiply both sides by

2 (y - 6)

5 y = 8 (y + 1) (y - 6) - 4 (y - 6)

Solve

5 y = 8 (y + 1) (y - 6) - 4 (y - 6) : y = \frac{49 + 3169}{16}, y = \frac{49 - 3169}{16}

y = \frac{49 + 3169}{16}, y = \frac{49 - 3169}{16}

Verify Solutions

Find undefined (singularity) points:

y = 6

Combine undefined points with solutions:

y = \frac{49 + 3169}{16}, y = \frac{49 - 3169}{16}

9 \leq \frac{y}{8} - 16

∣ x - 7 ∣ < 6

a + 17 < 27

1^{\frac{2}{5}}

200 - 120 x + 1 2^{2} = 0

What is the answer to (5y)/(2(y-6))=4(y+1)-2 ?
The answer to (5y)/(2(y-6))=4(y+1)-2 is y=(49+sqrt(3169))/(16),y=(49-sqrt(3169))/(16)
Solve for y: (5y)/(2(y-6))=4(y+1)-2
The solution is y=(49+sqrt(3169))/(16),y=(49-sqrt(3169))/(16)