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

The answer to (-7)/(y-2)=-4 is y= 15/4

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(-7)/(y-2)=-4

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

y = \frac{15}{4}

Solution steps

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

Simplify

\frac{- 7}{y - 2} : - \frac{7}{y - 2}

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

Multiply both sides by

y - 2

- 7 = - 4 (y - 2)

Switch sides

- 4 (y - 2) = - 7

Divide both sides by

- 4

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

Move

2

to the right side

y = \frac{15}{4}

Verify Solutions

Find undefined (singularity) points:

y = 2

Combine undefined points with solutions:

y = \frac{15}{4}

\frac{250}{100} = \frac{0.5}{x}

\frac{3}{- 4 + 2 y} = \frac{5}{6}

2 = \frac{x + 7}{x - 6}

a, \frac{b}{a} = c + 3 b

2 = \frac{x + 7}{x - 9}