40=-2(22-y)+4(y-3)

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Solution for 40=-2(22-y)+4(y-3) equation: 


Simplifying
40 = -2(22 + -1y) + 4(y + -3)
40 = (22 * -2 + -1y * -2) + 4(y + -3)
40 = (-44 + 2y) + 4(y + -3)

Reorder the terms:
40 = -44 + 2y + 4(-3 + y)
40 = -44 + 2y + (-3 * 4 + y * 4)
40 = -44 + 2y + (-12 + 4y)

Reorder the terms:
40 = -44 + -12 + 2y + 4y

Combine like terms: -44 + -12 = -56
40 = -56 + 2y + 4y

Combine like terms: 2y + 4y = 6y
40 = -56 + 6y

Solving
40 = -56 + 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.
40 + -6y = -56 + 6y + -6y

Combine like terms: 6y + -6y = 0
40 + -6y = -56 + 0
40 + -6y = -56

Add '-40' to each side of the equation.
40 + -40 + -6y = -56 + -40

Combine like terms: 40 + -40 = 0
0 + -6y = -56 + -40
-6y = -56 + -40

Combine like terms: -56 + -40 = -96
-6y = -96

Divide each side by '-6'.
y = 16

Simplifying
y = 16

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