2(3y+6)=3(y-8)

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Solution for 2(3y+6)=3(y-8) equation: 


Simplifying
2(3y + 6) = 3(y + -8)

Reorder the terms:
2(6 + 3y) = 3(y + -8)
(6 * 2 + 3y * 2) = 3(y + -8)
(12 + 6y) = 3(y + -8)

Reorder the terms:
12 + 6y = 3(-8 + y)
12 + 6y = (-8 * 3 + y * 3)
12 + 6y = (-24 + 3y)

Solving
12 + 6y = -24 + 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 = -24 + 3y + -3y

Combine like terms: 6y + -3y = 3y
12 + 3y = -24 + 3y + -3y

Combine like terms: 3y + -3y = 0
12 + 3y = -24 + 0
12 + 3y = -24

Add '-12' to each side of the equation.
12 + -12 + 3y = -24 + -12

Combine like terms: 12 + -12 = 0
0 + 3y = -24 + -12
3y = -24 + -12

Combine like terms: -24 + -12 = -36
3y = -36

Divide each side by '3'.
y = -12

Simplifying
y = -12

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