4+3(6y+3)=2(6y-2)+2

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Solution for 4+3(6y+3)=2(6y-2)+2 equation: 


Simplifying
4 + 3(6y + 3) = 2(6y + -2) + 2

Reorder the terms:
4 + 3(3 + 6y) = 2(6y + -2) + 2
4 + (3 * 3 + 6y * 3) = 2(6y + -2) + 2
4 + (9 + 18y) = 2(6y + -2) + 2

Combine like terms: 4 + 9 = 13
13 + 18y = 2(6y + -2) + 2

Reorder the terms:
13 + 18y = 2(-2 + 6y) + 2
13 + 18y = (-2 * 2 + 6y * 2) + 2
13 + 18y = (-4 + 12y) + 2

Reorder the terms:
13 + 18y = -4 + 2 + 12y

Combine like terms: -4 + 2 = -2
13 + 18y = -2 + 12y

Solving
13 + 18y = -2 + 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.
13 + 18y + -12y = -2 + 12y + -12y

Combine like terms: 18y + -12y = 6y
13 + 6y = -2 + 12y + -12y

Combine like terms: 12y + -12y = 0
13 + 6y = -2 + 0
13 + 6y = -2

Add '-13' to each side of the equation.
13 + -13 + 6y = -2 + -13

Combine like terms: 13 + -13 = 0
0 + 6y = -2 + -13
6y = -2 + -13

Combine like terms: -2 + -13 = -15
6y = -15

Divide each side by '6'.
y = -2.5

Simplifying
y = -2.5

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