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

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


Simplifying
4(8 + -1y) = 2(y + 8) + -2
(8 * 4 + -1y * 4) = 2(y + 8) + -2
(32 + -4y) = 2(y + 8) + -2

Reorder the terms:
32 + -4y = 2(8 + y) + -2
32 + -4y = (8 * 2 + y * 2) + -2
32 + -4y = (16 + 2y) + -2

Reorder the terms:
32 + -4y = 16 + -2 + 2y

Combine like terms: 16 + -2 = 14
32 + -4y = 14 + 2y

Solving
32 + -4y = 14 + 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.
32 + -4y + -2y = 14 + 2y + -2y

Combine like terms: -4y + -2y = -6y
32 + -6y = 14 + 2y + -2y

Combine like terms: 2y + -2y = 0
32 + -6y = 14 + 0
32 + -6y = 14

Add '-32' to each side of the equation.
32 + -32 + -6y = 14 + -32

Combine like terms: 32 + -32 = 0
0 + -6y = 14 + -32
-6y = 14 + -32

Combine like terms: 14 + -32 = -18
-6y = -18

Divide each side by '-6'.
y = 3

Simplifying
y = 3

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