4(y+6)-8=2y-4(y+2)

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Solution for 4(y+6)-8=2y-4(y+2) equation: 


Simplifying
4(y + 6) + -8 = 2y + -4(y + 2)

Reorder the terms:
4(6 + y) + -8 = 2y + -4(y + 2)
(6 * 4 + y * 4) + -8 = 2y + -4(y + 2)
(24 + 4y) + -8 = 2y + -4(y + 2)

Reorder the terms:
24 + -8 + 4y = 2y + -4(y + 2)

Combine like terms: 24 + -8 = 16
16 + 4y = 2y + -4(y + 2)

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

Reorder the terms:
16 + 4y = -8 + 2y + -4y

Combine like terms: 2y + -4y = -2y
16 + 4y = -8 + -2y

Solving
16 + 4y = -8 + -2y

Solving for variable 'y'.

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

Add '2y' to each side of the equation.
16 + 4y + 2y = -8 + -2y + 2y

Combine like terms: 4y + 2y = 6y
16 + 6y = -8 + -2y + 2y

Combine like terms: -2y + 2y = 0
16 + 6y = -8 + 0
16 + 6y = -8

Add '-16' to each side of the equation.
16 + -16 + 6y = -8 + -16

Combine like terms: 16 + -16 = 0
0 + 6y = -8 + -16
6y = -8 + -16

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

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

Simplifying
y = -4

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