What is the answer to (9y+12)/4+(3y-2)/2 = 7/2 y ?

The answer to (9y+12)/4+(3y-2)/2 = 7/2 y is y=-8

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(9y+12)/4+(3y-2)/2 = 7/2 y

\frac{9 y + 12}{4} + \frac{3 y - 2}{2} = \frac{7}{2} y

y = - 8

Solution steps

\frac{9 y + 12}{4} + \frac{3 y - 2}{2} = \frac{7}{2} y

Multiply by LCM

9 y + 12 + 2 (3 y - 2) = 14 y

Expand

9 y + 12 + 2 (3 y - 2) : 15 y + 8

15 y + 8 = 14 y

Move

8

to the right side

15 y = 14 y - 8

Move

14 y

to the left side

y = - 8

x, x + y + z = - 6

8 x - 4 = 3 x - 39

9 b = 4

A, X A = B

x, y + \frac{1}{8} = \frac{1}{8} (x - 1)

What is the answer to (9y+12)/4+(3y-2)/2 = 7/2 y ?
The answer to (9y+12)/4+(3y-2)/2 = 7/2 y is y=-8
Solve for y: (9y+12)/4+(3y-2)/2 = 7/2 y
The solution is y=-8