What is the answer to (9(y-1))/(3(y+2))=-21 ?

The answer to (9(y-1))/(3(y+2))=-21 is y=-13/8

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(9(y-1))/(3(y+2))=-21

\frac{9 ( y - 1 )}{3 ( y + 2 )} = - 21

y = - \frac{13}{8}

Decimal Notation

y = - 1.625

Solution steps

\frac{9 ( y - 1 )}{3 ( y + 2 )} = - 21

Simplify

\frac{9 ( y - 1 )}{3 ( y + 2 )} : \frac{3 ( y - 1 )}{y + 2}

\frac{3 ( y - 1 )}{y + 2} = - 21

Multiply both sides by

y + 2

3 (y - 1) = - 21 (y + 2)

Expand

3 (y - 1) : 3 y - 3

Expand

- 21 (y + 2) : - 21 y - 42

3 y - 3 = - 21 y - 42

Move

3

to the right side

3 y = - 21 y - 39

Move

21 y

to the left side

24 y = - 39

Divide both sides by

24

y = - \frac{13}{8}

Verify Solutions

Find undefined (singularity) points:

y = - 2

Combine undefined points with solutions:

y = - \frac{13}{8}

\frac{x + 2}{x + 6} = \frac{x}{x + 3}

\frac{3}{x + 2} = 2 - \frac{6}{x}

4 = \frac{9.2}{x}

\frac{3}{y} = \frac{2}{2 - y}

\frac{4}{5} = \frac{8}{x}

What is the answer to (9(y-1))/(3(y+2))=-21 ?
The answer to (9(y-1))/(3(y+2))=-21 is y=-13/8
Solve for y: (9(y-1))/(3(y+2))=-21
The solution is y=-13/8