-2(2y-1)+2y=4(y+4)

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Solution for -2(2y-1)+2y=4(y+4) equation: 


Simplifying
-2(2y + -1) + 2y = 4(y + 4)

Reorder the terms:
-2(-1 + 2y) + 2y = 4(y + 4)
(-1 * -2 + 2y * -2) + 2y = 4(y + 4)
(2 + -4y) + 2y = 4(y + 4)

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

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

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

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

Combine like terms: 4y + -4y = 0
2 + -6y = 16 + 0
2 + -6y = 16

Add '-2' to each side of the equation.
2 + -2 + -6y = 16 + -2

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

Combine like terms: 16 + -2 = 14
-6y = 14

Divide each side by '-6'.
y = -2.333333333

Simplifying
y = -2.333333333

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