4(18-y)+18=12(3+y)-7y

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Solution for 4(18-y)+18=12(3+y)-7y equation: 


Simplifying
4(18 + -1y) + 18 = 12(3 + y) + -7y
(18 * 4 + -1y * 4) + 18 = 12(3 + y) + -7y
(72 + -4y) + 18 = 12(3 + y) + -7y

Reorder the terms:
72 + 18 + -4y = 12(3 + y) + -7y

Combine like terms: 72 + 18 = 90
90 + -4y = 12(3 + y) + -7y
90 + -4y = (3 * 12 + y * 12) + -7y
90 + -4y = (36 + 12y) + -7y

Combine like terms: 12y + -7y = 5y
90 + -4y = 36 + 5y

Solving
90 + -4y = 36 + 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.
90 + -4y + -5y = 36 + 5y + -5y

Combine like terms: -4y + -5y = -9y
90 + -9y = 36 + 5y + -5y

Combine like terms: 5y + -5y = 0
90 + -9y = 36 + 0
90 + -9y = 36

Add '-90' to each side of the equation.
90 + -90 + -9y = 36 + -90

Combine like terms: 90 + -90 = 0
0 + -9y = 36 + -90
-9y = 36 + -90

Combine like terms: 36 + -90 = -54
-9y = -54

Divide each side by '-9'.
y = 6

Simplifying
y = 6

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