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

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


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

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

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

Reorder the terms:
-8 + -4y = -6 + 12 + 2y + 4y

Combine like terms: -6 + 12 = 6
-8 + -4y = 6 + 2y + 4y

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

Solving
-8 + -4y = 6 + 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.
-8 + -4y + -6y = 6 + 6y + -6y

Combine like terms: -4y + -6y = -10y
-8 + -10y = 6 + 6y + -6y

Combine like terms: 6y + -6y = 0
-8 + -10y = 6 + 0
-8 + -10y = 6

Add '8' to each side of the equation.
-8 + 8 + -10y = 6 + 8

Combine like terms: -8 + 8 = 0
0 + -10y = 6 + 8
-10y = 6 + 8

Combine like terms: 6 + 8 = 14
-10y = 14

Divide each side by '-10'.
y = -1.4

Simplifying
y = -1.4

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