50=-2(24-y)+4(y-4)

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Solution for 50=-2(24-y)+4(y-4) equation:


Simplifying
50 = -2(24 + -1y) + 4(y + -4)
50 = (24 * -2 + -1y * -2) + 4(y + -4)
50 = (-48 + 2y) + 4(y + -4)

Reorder the terms:
50 = -48 + 2y + 4(-4 + y)
50 = -48 + 2y + (-4 * 4 + y * 4)
50 = -48 + 2y + (-16 + 4y)

Reorder the terms:
50 = -48 + -16 + 2y + 4y

Combine like terms: -48 + -16 = -64
50 = -64 + 2y + 4y

Combine like terms: 2y + 4y = 6y
50 = -64 + 6y

Solving
50 = -64 + 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 = -64 + 6y + -6y

Combine like terms: 6y + -6y = 0
50 + -6y = -64 + 0
50 + -6y = -64

Add '-50' to each side of the equation.
50 + -50 + -6y = -64 + -50

Combine like terms: 50 + -50 = 0
0 + -6y = -64 + -50
-6y = -64 + -50

Combine like terms: -64 + -50 = -114
-6y = -114

Divide each side by '-6'.
y = 19

Simplifying
y = 19

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