What is the answer to (3y+5)/(2y)=3 ?

The answer to (3y+5)/(2y)=3 is y= 5/3

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(3y+5)/(2y)=3

\frac{3 y + 5}{2 y} = 3

y = \frac{5}{3}

Decimal Notation

y = 1.66666 \dots

Solution steps

\frac{3 y + 5}{2 y} = 3

Multiply both sides by

y

\frac{3 y + 5}{2} = 3 y

Multiply both sides by

2

3 y + 5 = 6 y

Move

5

to the right side

3 y = 6 y - 5

Move

6 y

to the left side

- 3 y = - 5

Divide both sides by

- 3

y = \frac{5}{3}

Verify Solutions

Find undefined (singularity) points:

y = 0

Combine undefined points with solutions:

y = \frac{5}{3}

\frac{2 x - 1}{x + 1} = 0

\frac{60}{x} - \frac{60}{x + 15} = 2

x = \frac{3 x + 28}{x}

15 x^{- 2} - 4 x^{- 1} = 3

\frac{2}{9} = \frac{x - 10}{20 - 5 x}