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

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


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

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

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

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

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

Combine like terms: -8y + -2y = -10y
4 + -10y = 8 + 2y + -2y

Combine like terms: 2y + -2y = 0
4 + -10y = 8 + 0
4 + -10y = 8

Add '-4' to each side of the equation.
4 + -4 + -10y = 8 + -4

Combine like terms: 4 + -4 = 0
0 + -10y = 8 + -4
-10y = 8 + -4

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

Divide each side by '-10'.
y = -0.4

Simplifying
y = -0.4

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