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

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


Simplifying
4(4 + -1y) + 2 = -2(y + -4) + -2
(4 * 4 + -1y * 4) + 2 = -2(y + -4) + -2
(16 + -4y) + 2 = -2(y + -4) + -2

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

Combine like terms: 16 + 2 = 18
18 + -4y = -2(y + -4) + -2

Reorder the terms:
18 + -4y = -2(-4 + y) + -2
18 + -4y = (-4 * -2 + y * -2) + -2
18 + -4y = (8 + -2y) + -2

Reorder the terms:
18 + -4y = 8 + -2 + -2y

Combine like terms: 8 + -2 = 6
18 + -4y = 6 + -2y

Solving
18 + -4y = 6 + -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 + -4y + 2y = 6 + -2y + 2y

Combine like terms: -4y + 2y = -2y
18 + -2y = 6 + -2y + 2y

Combine like terms: -2y + 2y = 0
18 + -2y = 6 + 0
18 + -2y = 6

Add '-18' to each side of the equation.
18 + -18 + -2y = 6 + -18

Combine like terms: 18 + -18 = 0
0 + -2y = 6 + -18
-2y = 6 + -18

Combine like terms: 6 + -18 = -12
-2y = -12

Divide each side by '-2'.
y = 6

Simplifying
y = 6

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