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

The answer to 1/(2(2y+4))=-6 is y=-49/24

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1/(2(2y+4))=-6

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

y = - \frac{49}{24}

Decimal Notation

y = - 2.04166 \dots

Solution steps

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

Multiply both sides by

2 (2 y + 4)

1 = - 12 (2 y + 4)

Switch sides

- 12 (2 y + 4) = 1

Divide both sides by

- 12

2 y + 4 = - \frac{1}{12}

Move

4

to the right side

2 y = - \frac{49}{12}

Divide both sides by

2

y = - \frac{49}{24}

Verify Solutions

Find undefined (singularity) points:

y = - 2

Combine undefined points with solutions:

y = - \frac{49}{24}

x, x^{- 3} = 0

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

1.85 = \frac{1}{2 a ( 0.73 s ) ^{2}}

\frac{5 x - 8}{5 x + 6} = \frac{3}{4}

x - \frac{4}{3 x} = \frac{1}{3}