What is the answer to 7/4 = 6/y-2 ?

The answer to 7/4 = 6/y-2 is y= 8/5

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7/4 = 6/y-2

\frac{7}{4} = \frac{6}{y} - 2

y = \frac{8}{5}

Decimal Notation

y = 1.6

Solution steps

\frac{7}{4} = \frac{6}{y} - 2

Multiply by LCM

7 y = 24 - 8 y

Move

8 y

to the left side

15 y = 24

Divide both sides by

15

y = \frac{8}{5}

Verify Solutions

Find undefined (singularity) points:

y = 0

Combine undefined points with solutions:

y = \frac{8}{5}

\frac{1}{( x - 2 )} = 3

\frac{x ^{2} - 32400}{720 x ^{2}} = 0

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

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

\frac{x + 2}{3 ( 5 - x )} = 2 x