50=-2(23-y)+4(y-3)

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Solution for 50=-2(23-y)+4(y-3) equation: 


Simplifying
50 = -2(23 + -1y) + 4(y + -3)
50 = (23 * -2 + -1y * -2) + 4(y + -3)
50 = (-46 + 2y) + 4(y + -3)

Reorder the terms:
50 = -46 + 2y + 4(-3 + y)
50 = -46 + 2y + (-3 * 4 + y * 4)
50 = -46 + 2y + (-12 + 4y)

Reorder the terms:
50 = -46 + -12 + 2y + 4y

Combine like terms: -46 + -12 = -58
50 = -58 + 2y + 4y

Combine like terms: 2y + 4y = 6y
50 = -58 + 6y

Solving
50 = -58 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
50 + -6y = -58 + 6y + -6y

Combine like terms: 6y + -6y = 0
50 + -6y = -58 + 0
50 + -6y = -58

Add '-50' to each side of the equation.
50 + -50 + -6y = -58 + -50

Combine like terms: 50 + -50 = 0
0 + -6y = -58 + -50
-6y = -58 + -50

Combine like terms: -58 + -50 = -108
-6y = -108

Divide each side by '-6'.
y = 18

Simplifying
y = 18

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