32=-2(23-y)+3(y-4)

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Solution for 32=-2(23-y)+3(y-4) equation: 


Simplifying
32 = -2(23 + -1y) + 3(y + -4)
32 = (23 * -2 + -1y * -2) + 3(y + -4)
32 = (-46 + 2y) + 3(y + -4)

Reorder the terms:
32 = -46 + 2y + 3(-4 + y)
32 = -46 + 2y + (-4 * 3 + y * 3)
32 = -46 + 2y + (-12 + 3y)

Reorder the terms:
32 = -46 + -12 + 2y + 3y

Combine like terms: -46 + -12 = -58
32 = -58 + 2y + 3y

Combine like terms: 2y + 3y = 5y
32 = -58 + 5y

Solving
32 = -58 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
32 + -5y = -58 + 5y + -5y

Combine like terms: 5y + -5y = 0
32 + -5y = -58 + 0
32 + -5y = -58

Add '-32' to each side of the equation.
32 + -32 + -5y = -58 + -32

Combine like terms: 32 + -32 = 0
0 + -5y = -58 + -32
-5y = -58 + -32

Combine like terms: -58 + -32 = -90
-5y = -90

Divide each side by '-5'.
y = 18

Simplifying
y = 18

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