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

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


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

Reorder the terms:
4(2 + y) = -4(4y + -1) + 2y
(2 * 4 + y * 4) = -4(4y + -1) + 2y
(8 + 4y) = -4(4y + -1) + 2y

Reorder the terms:
8 + 4y = -4(-1 + 4y) + 2y
8 + 4y = (-1 * -4 + 4y * -4) + 2y
8 + 4y = (4 + -16y) + 2y

Combine like terms: -16y + 2y = -14y
8 + 4y = 4 + -14y

Solving
8 + 4y = 4 + -14y

Solving for variable 'y'.

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

Add '14y' to each side of the equation.
8 + 4y + 14y = 4 + -14y + 14y

Combine like terms: 4y + 14y = 18y
8 + 18y = 4 + -14y + 14y

Combine like terms: -14y + 14y = 0
8 + 18y = 4 + 0
8 + 18y = 4

Add '-8' to each side of the equation.
8 + -8 + 18y = 4 + -8

Combine like terms: 8 + -8 = 0
0 + 18y = 4 + -8
18y = 4 + -8

Combine like terms: 4 + -8 = -4
18y = -4

Divide each side by '18'.
y = -0.2222222222

Simplifying
y = -0.2222222222

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