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

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


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

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

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

Solving
32 + -16y = 8 + 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 + -16y + -2y = 8 + 2y + -2y

Combine like terms: -16y + -2y = -18y
32 + -18y = 8 + 2y + -2y

Combine like terms: 2y + -2y = 0
32 + -18y = 8 + 0
32 + -18y = 8

Add '-32' to each side of the equation.
32 + -32 + -18y = 8 + -32

Combine like terms: 32 + -32 = 0
0 + -18y = 8 + -32
-18y = 8 + -32

Combine like terms: 8 + -32 = -24
-18y = -24

Divide each side by '-18'.
y = 1.333333333

Simplifying
y = 1.333333333

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