16=-3(22-y)+2(y-4)

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Solution for 16=-3(22-y)+2(y-4) equation: 


Simplifying
16 = -3(22 + -1y) + 2(y + -4)
16 = (22 * -3 + -1y * -3) + 2(y + -4)
16 = (-66 + 3y) + 2(y + -4)

Reorder the terms:
16 = -66 + 3y + 2(-4 + y)
16 = -66 + 3y + (-4 * 2 + y * 2)
16 = -66 + 3y + (-8 + 2y)

Reorder the terms:
16 = -66 + -8 + 3y + 2y

Combine like terms: -66 + -8 = -74
16 = -74 + 3y + 2y

Combine like terms: 3y + 2y = 5y
16 = -74 + 5y

Solving
16 = -74 + 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.
16 + -5y = -74 + 5y + -5y

Combine like terms: 5y + -5y = 0
16 + -5y = -74 + 0
16 + -5y = -74

Add '-16' to each side of the equation.
16 + -16 + -5y = -74 + -16

Combine like terms: 16 + -16 = 0
0 + -5y = -74 + -16
-5y = -74 + -16

Combine like terms: -74 + -16 = -90
-5y = -90

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

Simplifying
y = 18

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