4(8-3y)=32-8(y+2)

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Solution for 4(8-3y)=32-8(y+2) equation: 


Simplifying
4(8 + -3y) = 32 + -8(y + 2)
(8 * 4 + -3y * 4) = 32 + -8(y + 2)
(32 + -12y) = 32 + -8(y + 2)

Reorder the terms:
32 + -12y = 32 + -8(2 + y)
32 + -12y = 32 + (2 * -8 + y * -8)
32 + -12y = 32 + (-16 + -8y)

Combine like terms: 32 + -16 = 16
32 + -12y = 16 + -8y

Solving
32 + -12y = 16 + -8y

Solving for variable 'y'.

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

Add '8y' to each side of the equation.
32 + -12y + 8y = 16 + -8y + 8y

Combine like terms: -12y + 8y = -4y
32 + -4y = 16 + -8y + 8y

Combine like terms: -8y + 8y = 0
32 + -4y = 16 + 0
32 + -4y = 16

Add '-32' to each side of the equation.
32 + -32 + -4y = 16 + -32

Combine like terms: 32 + -32 = 0
0 + -4y = 16 + -32
-4y = 16 + -32

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

Divide each side by '-4'.
y = 4

Simplifying
y = 4

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