2(y-6)=4(y+4)-12

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Solution for 2(y-6)=4(y+4)-12 equation: 


Simplifying
2(y + -6) = 4(y + 4) + -12

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

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

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

Combine like terms: 16 + -12 = 4
-12 + 2y = 4 + 4y

Solving
-12 + 2y = 4 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
-12 + 2y + -4y = 4 + 4y + -4y

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

Combine like terms: 4y + -4y = 0
-12 + -2y = 4 + 0
-12 + -2y = 4

Add '12' to each side of the equation.
-12 + 12 + -2y = 4 + 12

Combine like terms: -12 + 12 = 0
0 + -2y = 4 + 12
-2y = 4 + 12

Combine like terms: 4 + 12 = 16
-2y = 16

Divide each side by '-2'.
y = -8

Simplifying
y = -8

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