-4(3y-9)+7y=4(y+6)

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Solution for -4(3y-9)+7y=4(y+6) equation: 


Simplifying
-4(3y + -9) + 7y = 4(y + 6)

Reorder the terms:
-4(-9 + 3y) + 7y = 4(y + 6)
(-9 * -4 + 3y * -4) + 7y = 4(y + 6)
(36 + -12y) + 7y = 4(y + 6)

Combine like terms: -12y + 7y = -5y
36 + -5y = 4(y + 6)

Reorder the terms:
36 + -5y = 4(6 + y)
36 + -5y = (6 * 4 + y * 4)
36 + -5y = (24 + 4y)

Solving
36 + -5y = 24 + 4y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-4y' to each side of the equation.
36 + -5y + -4y = 24 + 4y + -4y

Combine like terms: -5y + -4y = -9y
36 + -9y = 24 + 4y + -4y

Combine like terms: 4y + -4y = 0
36 + -9y = 24 + 0
36 + -9y = 24

Add '-36' to each side of the equation.
36 + -36 + -9y = 24 + -36

Combine like terms: 36 + -36 = 0
0 + -9y = 24 + -36
-9y = 24 + -36

Combine like terms: 24 + -36 = -12
-9y = -12

Divide each side by '-9'.
y = 1.333333333

Simplifying
y = 1.333333333

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