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

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


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

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

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

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

Combine like terms: 4y + 12y = 16y
8 + 16y = 2(y + -2)

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

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

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

Combine like terms: 2y + -2y = 0
8 + 14y = -4 + 0
8 + 14y = -4

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

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

Combine like terms: -4 + -8 = -12
14y = -12

Divide each side by '14'.
y = -0.8571428571

Simplifying
y = -0.8571428571

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