18(3y+2)=14(2y+12)+12

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Solution for 18(3y+2)=14(2y+12)+12 equation: 


Simplifying
18(3y + 2) = 14(2y + 12) + 12

Reorder the terms:
18(2 + 3y) = 14(2y + 12) + 12
(2 * 18 + 3y * 18) = 14(2y + 12) + 12
(36 + 54y) = 14(2y + 12) + 12

Reorder the terms:
36 + 54y = 14(12 + 2y) + 12
36 + 54y = (12 * 14 + 2y * 14) + 12
36 + 54y = (168 + 28y) + 12

Reorder the terms:
36 + 54y = 168 + 12 + 28y

Combine like terms: 168 + 12 = 180
36 + 54y = 180 + 28y

Solving
36 + 54y = 180 + 28y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-28y' to each side of the equation.
36 + 54y + -28y = 180 + 28y + -28y

Combine like terms: 54y + -28y = 26y
36 + 26y = 180 + 28y + -28y

Combine like terms: 28y + -28y = 0
36 + 26y = 180 + 0
36 + 26y = 180

Add '-36' to each side of the equation.
36 + -36 + 26y = 180 + -36

Combine like terms: 36 + -36 = 0
0 + 26y = 180 + -36
26y = 180 + -36

Combine like terms: 180 + -36 = 144
26y = 144

Divide each side by '26'.
y = 5.538461538

Simplifying
y = 5.538461538

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