4(y+8)=0.5(4y-8)

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Solution for 4(y+8)=0.5(4y-8) equation: 


Simplifying
4(y + 8) = 0.5(4y + -8)

Reorder the terms:
4(8 + y) = 0.5(4y + -8)
(8 * 4 + y * 4) = 0.5(4y + -8)
(32 + 4y) = 0.5(4y + -8)

Reorder the terms:
32 + 4y = 0.5(-8 + 4y)
32 + 4y = (-8 * 0.5 + 4y * 0.5)
32 + 4y = (-4 + 2y)

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

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

Combine like terms: 2y + -2y = 0
32 + 2y = -4 + 0
32 + 2y = -4

Add '-32' to each side of the equation.
32 + -32 + 2y = -4 + -32

Combine like terms: 32 + -32 = 0
0 + 2y = -4 + -32
2y = -4 + -32

Combine like terms: -4 + -32 = -36
2y = -36

Divide each side by '2'.
y = -18

Simplifying
y = -18

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