30=-3(24-y)+3(y-4)

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Solution for 30=-3(24-y)+3(y-4) equation: 


Simplifying
30 = -3(24 + -1y) + 3(y + -4)
30 = (24 * -3 + -1y * -3) + 3(y + -4)
30 = (-72 + 3y) + 3(y + -4)

Reorder the terms:
30 = -72 + 3y + 3(-4 + y)
30 = -72 + 3y + (-4 * 3 + y * 3)
30 = -72 + 3y + (-12 + 3y)

Reorder the terms:
30 = -72 + -12 + 3y + 3y

Combine like terms: -72 + -12 = -84
30 = -84 + 3y + 3y

Combine like terms: 3y + 3y = 6y
30 = -84 + 6y

Solving
30 = -84 + 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.
30 + -6y = -84 + 6y + -6y

Combine like terms: 6y + -6y = 0
30 + -6y = -84 + 0
30 + -6y = -84

Add '-30' to each side of the equation.
30 + -30 + -6y = -84 + -30

Combine like terms: 30 + -30 = 0
0 + -6y = -84 + -30
-6y = -84 + -30

Combine like terms: -84 + -30 = -114
-6y = -114

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

Simplifying
y = 19

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