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

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


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

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

Reorder the terms:
8 + -2y = 3(8 + y)
8 + -2y = (8 * 3 + y * 3)
8 + -2y = (24 + 3y)

Solving
8 + -2y = 24 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
8 + -2y + -3y = 24 + 3y + -3y

Combine like terms: -2y + -3y = -5y
8 + -5y = 24 + 3y + -3y

Combine like terms: 3y + -3y = 0
8 + -5y = 24 + 0
8 + -5y = 24

Add '-8' to each side of the equation.
8 + -8 + -5y = 24 + -8

Combine like terms: 8 + -8 = 0
0 + -5y = 24 + -8
-5y = 24 + -8

Combine like terms: 24 + -8 = 16
-5y = 16

Divide each side by '-5'.
y = -3.2

Simplifying
y = -3.2

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