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

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


Simplifying
6(y + 2) = 3(y + -6)

Reorder the terms:
6(2 + y) = 3(y + -6)
(2 * 6 + y * 6) = 3(y + -6)
(12 + 6y) = 3(y + -6)

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

Solving
12 + 6y = -18 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
12 + 6y + -3y = -18 + 3y + -3y

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

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

Add '-12' to each side of the equation.
12 + -12 + 3y = -18 + -12

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

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

Divide each side by '3'.
y = -10

Simplifying
y = -10

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