4(7-y)+2=-2(y-4)-4

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Solution for 4(7-y)+2=-2(y-4)-4 equation: 


Simplifying
4(7 + -1y) + 2 = -2(y + -4) + -4
(7 * 4 + -1y * 4) + 2 = -2(y + -4) + -4
(28 + -4y) + 2 = -2(y + -4) + -4

Reorder the terms:
28 + 2 + -4y = -2(y + -4) + -4

Combine like terms: 28 + 2 = 30
30 + -4y = -2(y + -4) + -4

Reorder the terms:
30 + -4y = -2(-4 + y) + -4
30 + -4y = (-4 * -2 + y * -2) + -4
30 + -4y = (8 + -2y) + -4

Reorder the terms:
30 + -4y = 8 + -4 + -2y

Combine like terms: 8 + -4 = 4
30 + -4y = 4 + -2y

Solving
30 + -4y = 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.
30 + -4y + 2y = 4 + -2y + 2y

Combine like terms: -4y + 2y = -2y
30 + -2y = 4 + -2y + 2y

Combine like terms: -2y + 2y = 0
30 + -2y = 4 + 0
30 + -2y = 4

Add '-30' to each side of the equation.
30 + -30 + -2y = 4 + -30

Combine like terms: 30 + -30 = 0
0 + -2y = 4 + -30
-2y = 4 + -30

Combine like terms: 4 + -30 = -26
-2y = -26

Divide each side by '-2'.
y = 13

Simplifying
y = 13

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