What is the answer to 2/3 (2y-3)= 1/2 (4y+2) ?

The answer to 2/3 (2y-3)= 1/2 (4y+2) is y=-9/2

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2/3 (2y-3)= 1/2 (4y+2)

\frac{2}{3} (2 y - 3) = \frac{1}{2} (4 y + 2)

y = - \frac{9}{2}

Decimal Notation

y = - 4.5

Solution steps

\frac{2}{3} (2 y - 3) = \frac{1}{2} (4 y + 2)

Expand

\frac{2}{3} (2 y - 3) : \frac{4}{3} y - 2

Expand

\frac{1}{2} (4 y + 2) : 2 y + 1

\frac{4}{3} y - 2 = 2 y + 1

Move

2

to the right side

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

Move

2 y

to the left side

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

Multiply both sides by

3

- 2 y = 9

Divide both sides by

- 2

y = - \frac{9}{2}

5 (x + 5) = 2 x + 26 + 2 x

9 - 4 (3 x + 1) = 3 (6 - 3 x) - 9

- (4 m + 2) + 2 m = 16 - 6 (2 m + 3)

x, 4 x - y = 14

x, 4 x - y = 16

What is the answer to 2/3 (2y-3)= 1/2 (4y+2) ?
The answer to 2/3 (2y-3)= 1/2 (4y+2) is y=-9/2
Solve for y: 2/3 (2y-3)= 1/2 (4y+2)
The solution is y=-9/2