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

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


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

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

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

Solving
12 + -2y = -12 + -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 + -2y + 6y = -12 + -6y + 6y

Combine like terms: -2y + 6y = 4y
12 + 4y = -12 + -6y + 6y

Combine like terms: -6y + 6y = 0
12 + 4y = -12 + 0
12 + 4y = -12

Add '-12' to each side of the equation.
12 + -12 + 4y = -12 + -12

Combine like terms: 12 + -12 = 0
0 + 4y = -12 + -12
4y = -12 + -12

Combine like terms: -12 + -12 = -24
4y = -24

Divide each side by '4'.
y = -6

Simplifying
y = -6

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