6y+12=3(4y-8)

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Solution for 6y+12=3(4y-8) equation: 


Simplifying
6y + 12 = 3(4y + -8)

Reorder the terms:
12 + 6y = 3(4y + -8)

Reorder the terms:
12 + 6y = 3(-8 + 4y)
12 + 6y = (-8 * 3 + 4y * 3)
12 + 6y = (-24 + 12y)

Solving
12 + 6y = -24 + 12y

Solving for variable 'y'.

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

Add '-12y' to each side of the equation.
12 + 6y + -12y = -24 + 12y + -12y

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

Combine like terms: 12y + -12y = 0
12 + -6y = -24 + 0
12 + -6y = -24

Add '-12' to each side of the equation.
12 + -12 + -6y = -24 + -12

Combine like terms: 12 + -12 = 0
0 + -6y = -24 + -12
-6y = -24 + -12

Combine like terms: -24 + -12 = -36
-6y = -36

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

Simplifying
y = 6

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