3(2+-4(1y+-1))=(2y+8)

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Solution for 3(2+-4(1y+-1))=(2y+8) equation:


Simplifying
3(2 + -4(1y + -1)) = (2y + 8)

Reorder the terms:
3(2 + -4(-1 + 1y)) = (2y + 8)
3(2 + (-1 * -4 + 1y * -4)) = (2y + 8)
3(2 + (4 + -4y)) = (2y + 8)

Combine like terms: 2 + 4 = 6
3(6 + -4y) = (2y + 8)
(6 * 3 + -4y * 3) = (2y + 8)
(18 + -12y) = (2y + 8)

Reorder the terms:
18 + -12y = (8 + 2y)

Remove parenthesis around (8 + 2y)
18 + -12y = 8 + 2y

Solving
18 + -12y = 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.
18 + -12y + -2y = 8 + 2y + -2y

Combine like terms: -12y + -2y = -14y
18 + -14y = 8 + 2y + -2y

Combine like terms: 2y + -2y = 0
18 + -14y = 8 + 0
18 + -14y = 8

Add '-18' to each side of the equation.
18 + -18 + -14y = 8 + -18

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

Combine like terms: 8 + -18 = -10
-14y = -10

Divide each side by '-14'.
y = 0.7142857143

Simplifying
y = 0.7142857143

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