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

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


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

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

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

Solving
12 + 2y = -16 + 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 = -16 + 4y + -4y

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

Combine like terms: 4y + -4y = 0
12 + -2y = -16 + 0
12 + -2y = -16

Add '-12' to each side of the equation.
12 + -12 + -2y = -16 + -12

Combine like terms: 12 + -12 = 0
0 + -2y = -16 + -12
-2y = -16 + -12

Combine like terms: -16 + -12 = -28
-2y = -28

Divide each side by '-2'.
y = 14

Simplifying
y = 14

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