-3y+12=2(3y-4)-16

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Solution for -3y+12=2(3y-4)-16 equation:


Simplifying
-3y + 12 = 2(3y + -4) + -16

Reorder the terms:
12 + -3y = 2(3y + -4) + -16

Reorder the terms:
12 + -3y = 2(-4 + 3y) + -16
12 + -3y = (-4 * 2 + 3y * 2) + -16
12 + -3y = (-8 + 6y) + -16

Reorder the terms:
12 + -3y = -8 + -16 + 6y

Combine like terms: -8 + -16 = -24
12 + -3y = -24 + 6y

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

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
12 + -3y + -6y = -24 + 6y + -6y

Combine like terms: -3y + -6y = -9y
12 + -9y = -24 + 6y + -6y

Combine like terms: 6y + -6y = 0
12 + -9y = -24 + 0
12 + -9y = -24

Add '-12' to each side of the equation.
12 + -12 + -9y = -24 + -12

Combine like terms: 12 + -12 = 0
0 + -9y = -24 + -12
-9y = -24 + -12

Combine like terms: -24 + -12 = -36
-9y = -36

Divide each side by '-9'.
y = 4

Simplifying
y = 4

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