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

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


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

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

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

Reorder the terms:
-12 + -18 + 6y + -3y + 3y = 0

Combine like terms: -12 + -18 = -30
-30 + 6y + -3y + 3y = 0

Combine like terms: 6y + -3y = 3y
-30 + 3y + 3y = 0

Combine like terms: 3y + 3y = 6y
-30 + 6y = 0

Solving
-30 + 6y = 0

Solving for variable 'y'.

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

Add '30' to each side of the equation.
-30 + 30 + 6y = 0 + 30

Combine like terms: -30 + 30 = 0
0 + 6y = 0 + 30
6y = 0 + 30

Combine like terms: 0 + 30 = 30
6y = 30

Divide each side by '6'.
y = 5

Simplifying
y = 5

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