What is the answer to 3/4 y=-4+2-3/2 y+5+9/2 y ?

The answer to 3/4 y=-4+2-3/2 y+5+9/2 y is y=-4/3

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3/4 y=-4+2-3/2 y+5+9/2 y

\frac{3}{4} y = - 4 + 2 - \frac{3}{2} y + 5 + \frac{9}{2} y

y = - \frac{4}{3}

Decimal Notation

y = - 1.33333 \dots

Solution steps

\frac{3}{4} y = - 4 + 2 - \frac{3}{2} y + 5 + \frac{9}{2} y

Group like terms

\frac{3}{4} y = - \frac{3}{2} y + \frac{9}{2} y - 4 + 2 + 5

Add/Subtract the numbers:

- 4 + 2 + 5 = 3

\frac{3}{4} y = \frac{9}{2} y - \frac{3}{2} y + 3

Subtract

\frac{9}{2} y - \frac{3}{2} y

from both sides

\frac{3}{4} y - (\frac{9}{2} y - \frac{3}{2} y) = \frac{9}{2} y - \frac{3}{2} y + 3 - (\frac{9}{2} y - \frac{3}{2} y)

Simplify

- \frac{9}{4} y = 3

Multiply both sides by

4

- 9 y = 12

Divide both sides by

- 9

y = - \frac{4}{3}

x, y + 4 x - 3 = 0

x + 3 = - (x - 1)

8 x + 12 = 36

x, 8 x + 2 y = 10

6 - x - 3 = 4 x - 12

What is the answer to 3/4 y=-4+2-3/2 y+5+9/2 y ?
The answer to 3/4 y=-4+2-3/2 y+5+9/2 y is y=-4/3
Solve for y: 3/4 y=-4+2-3/2 y+5+9/2 y
The solution is y=-4/3