3(2y+3)+2=2(6y+3)-14

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Solution for 3(2y+3)+2=2(6y+3)-14 equation: 


Simplifying
3(2y + 3) + 2 = 2(6y + 3) + -14

Reorder the terms:
3(3 + 2y) + 2 = 2(6y + 3) + -14
(3 * 3 + 2y * 3) + 2 = 2(6y + 3) + -14
(9 + 6y) + 2 = 2(6y + 3) + -14

Reorder the terms:
9 + 2 + 6y = 2(6y + 3) + -14

Combine like terms: 9 + 2 = 11
11 + 6y = 2(6y + 3) + -14

Reorder the terms:
11 + 6y = 2(3 + 6y) + -14
11 + 6y = (3 * 2 + 6y * 2) + -14
11 + 6y = (6 + 12y) + -14

Reorder the terms:
11 + 6y = 6 + -14 + 12y

Combine like terms: 6 + -14 = -8
11 + 6y = -8 + 12y

Solving
11 + 6y = -8 + 12y

Solving for variable 'y'.

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

Add '-12y' to each side of the equation.
11 + 6y + -12y = -8 + 12y + -12y

Combine like terms: 6y + -12y = -6y
11 + -6y = -8 + 12y + -12y

Combine like terms: 12y + -12y = 0
11 + -6y = -8 + 0
11 + -6y = -8

Add '-11' to each side of the equation.
11 + -11 + -6y = -8 + -11

Combine like terms: 11 + -11 = 0
0 + -6y = -8 + -11
-6y = -8 + -11

Combine like terms: -8 + -11 = -19
-6y = -19

Divide each side by '-6'.
y = 3.166666667

Simplifying
y = 3.166666667

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