What is the answer to -(2y-4)/(y+7)= 1/3 ?

The answer to -(2y-4)/(y+7)= 1/3 is y= 5/7

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-(2y-4)/(y+7)= 1/3

- \frac{2 y - 4}{y + 7} = \frac{1}{3}

y = \frac{5}{7}

Decimal Notation

y = 0.71428 \dots

Solution steps

- \frac{2 y - 4}{y + 7} = \frac{1}{3}

Cross multiply

- 6 y + 12 = y + 7

Move

12

to the right side

- 6 y = y - 5

Move

y

to the left side

- 7 y = - 5

Divide both sides by

- 7

y = \frac{5}{7}

Verify Solutions

Find undefined (singularity) points:

y = - 7

Combine undefined points with solutions:

y = \frac{5}{7}

u - \frac{2}{u} = 1

\frac{4}{1 + 3 y} = \frac{5}{44 - y}

8 x^{2} = \frac{1}{2 x}

\frac{5 x + 2}{x + 1} = 4.83

\frac{1}{2} = \frac{2}{a}

What is the answer to -(2y-4)/(y+7)= 1/3 ?
The answer to -(2y-4)/(y+7)= 1/3 is y= 5/7
Solve for y: -(2y-4)/(y+7)= 1/3
The solution is y= 5/7