2+3(2y-6)-3(4y+3)-9=

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Solution for 2+3(2y-6)-3(4y+3)-9= equation: 


Simplifying
2 + 3(2y + -6) + -3(4y + 3) + -9 = 0

Reorder the terms:
2 + 3(-6 + 2y) + -3(4y + 3) + -9 = 0
2 + (-6 * 3 + 2y * 3) + -3(4y + 3) + -9 = 0
2 + (-18 + 6y) + -3(4y + 3) + -9 = 0

Reorder the terms:
2 + -18 + 6y + -3(3 + 4y) + -9 = 0
2 + -18 + 6y + (3 * -3 + 4y * -3) + -9 = 0
2 + -18 + 6y + (-9 + -12y) + -9 = 0

Reorder the terms:
2 + -18 + -9 + -9 + 6y + -12y = 0

Combine like terms: 2 + -18 = -16
-16 + -9 + -9 + 6y + -12y = 0

Combine like terms: -16 + -9 = -25
-25 + -9 + 6y + -12y = 0

Combine like terms: -25 + -9 = -34
-34 + 6y + -12y = 0

Combine like terms: 6y + -12y = -6y
-34 + -6y = 0

Solving
-34 + -6y = 0

Solving for variable 'y'.

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

Add '34' to each side of the equation.
-34 + 34 + -6y = 0 + 34

Combine like terms: -34 + 34 = 0
0 + -6y = 0 + 34
-6y = 0 + 34

Combine like terms: 0 + 34 = 34
-6y = 34

Divide each side by '-6'.
y = -5.666666667

Simplifying
y = -5.666666667

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