What is the answer to (10)/(7y-14)=-4 ?

The answer to (10)/(7y-14)=-4 is y= 23/14

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(10)/(7y-14)=-4

\frac{10}{7 y - 14} = - 4

y = \frac{23}{14}

Decimal Notation

y = 1.64285 \dots

Solution steps

\frac{10}{7 y - 14} = - 4

Multiply both sides by

7 y - 14

10 = - 4 (7 y - 14)

Switch sides

- 4 (7 y - 14) = 10

Divide both sides by

- 4

7 y - 14 = - \frac{5}{2}

Move

14

to the right side

7 y = \frac{23}{2}

Divide both sides by

7

y = \frac{23}{14}

Verify Solutions

Find undefined (singularity) points:

y = 2

Combine undefined points with solutions:

y = \frac{23}{14}

\frac{7}{4} = \frac{5}{y} - 2

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

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

x + 2 = \frac{4}{x}

\frac{x}{3} = \frac{9}{x + 5 x ^{2}}

What is the answer to (10)/(7y-14)=-4 ?
The answer to (10)/(7y-14)=-4 is y= 23/14
Solve for y: (10)/(7y-14)=-4
The solution is y= 23/14