14=-3(24-y)+2(y-2)

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Solution for 14=-3(24-y)+2(y-2) equation: 


Simplifying
14 = -3(24 + -1y) + 2(y + -2)
14 = (24 * -3 + -1y * -3) + 2(y + -2)
14 = (-72 + 3y) + 2(y + -2)

Reorder the terms:
14 = -72 + 3y + 2(-2 + y)
14 = -72 + 3y + (-2 * 2 + y * 2)
14 = -72 + 3y + (-4 + 2y)

Reorder the terms:
14 = -72 + -4 + 3y + 2y

Combine like terms: -72 + -4 = -76
14 = -76 + 3y + 2y

Combine like terms: 3y + 2y = 5y
14 = -76 + 5y

Solving
14 = -76 + 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.
14 + -5y = -76 + 5y + -5y

Combine like terms: 5y + -5y = 0
14 + -5y = -76 + 0
14 + -5y = -76

Add '-14' to each side of the equation.
14 + -14 + -5y = -76 + -14

Combine like terms: 14 + -14 = 0
0 + -5y = -76 + -14
-5y = -76 + -14

Combine like terms: -76 + -14 = -90
-5y = -90

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

Simplifying
y = 18

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