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

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


Simplifying
4(8 + -1y) = 2(3y + 2) + 8
(8 * 4 + -1y * 4) = 2(3y + 2) + 8
(32 + -4y) = 2(3y + 2) + 8

Reorder the terms:
32 + -4y = 2(2 + 3y) + 8
32 + -4y = (2 * 2 + 3y * 2) + 8
32 + -4y = (4 + 6y) + 8

Reorder the terms:
32 + -4y = 4 + 8 + 6y

Combine like terms: 4 + 8 = 12
32 + -4y = 12 + 6y

Solving
32 + -4y = 12 + 6y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-6y' to each side of the equation.
32 + -4y + -6y = 12 + 6y + -6y

Combine like terms: -4y + -6y = -10y
32 + -10y = 12 + 6y + -6y

Combine like terms: 6y + -6y = 0
32 + -10y = 12 + 0
32 + -10y = 12

Add '-32' to each side of the equation.
32 + -32 + -10y = 12 + -32

Combine like terms: 32 + -32 = 0
0 + -10y = 12 + -32
-10y = 12 + -32

Combine like terms: 12 + -32 = -20
-10y = -20

Divide each side by '-10'.
y = 2

Simplifying
y = 2

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