4(19-y)+18=12(3+y)-7y

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Solution for 4(19-y)+18=12(3+y)-7y equation: 


Simplifying
4(19 + -1y) + 18 = 12(3 + y) + -7y
(19 * 4 + -1y * 4) + 18 = 12(3 + y) + -7y
(76 + -4y) + 18 = 12(3 + y) + -7y

Reorder the terms:
76 + 18 + -4y = 12(3 + y) + -7y

Combine like terms: 76 + 18 = 94
94 + -4y = 12(3 + y) + -7y
94 + -4y = (3 * 12 + y * 12) + -7y
94 + -4y = (36 + 12y) + -7y

Combine like terms: 12y + -7y = 5y
94 + -4y = 36 + 5y

Solving
94 + -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.
94 + -4y + -5y = 36 + 5y + -5y

Combine like terms: -4y + -5y = -9y
94 + -9y = 36 + 5y + -5y

Combine like terms: 5y + -5y = 0
94 + -9y = 36 + 0
94 + -9y = 36

Add '-94' to each side of the equation.
94 + -94 + -9y = 36 + -94

Combine like terms: 94 + -94 = 0
0 + -9y = 36 + -94
-9y = 36 + -94

Combine like terms: 36 + -94 = -58
-9y = -58

Divide each side by '-9'.
y = 6.444444444

Simplifying
y = 6.444444444

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