2-2(-9y-6)=3(4y+5)+3

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Solution for 2-2(-9y-6)=3(4y+5)+3 equation: 


Simplifying
2 + -2(-9y + -6) = 3(4y + 5) + 3

Reorder the terms:
2 + -2(-6 + -9y) = 3(4y + 5) + 3
2 + (-6 * -2 + -9y * -2) = 3(4y + 5) + 3
2 + (12 + 18y) = 3(4y + 5) + 3

Combine like terms: 2 + 12 = 14
14 + 18y = 3(4y + 5) + 3

Reorder the terms:
14 + 18y = 3(5 + 4y) + 3
14 + 18y = (5 * 3 + 4y * 3) + 3
14 + 18y = (15 + 12y) + 3

Reorder the terms:
14 + 18y = 15 + 3 + 12y

Combine like terms: 15 + 3 = 18
14 + 18y = 18 + 12y

Solving
14 + 18y = 18 + 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.
14 + 18y + -12y = 18 + 12y + -12y

Combine like terms: 18y + -12y = 6y
14 + 6y = 18 + 12y + -12y

Combine like terms: 12y + -12y = 0
14 + 6y = 18 + 0
14 + 6y = 18

Add '-14' to each side of the equation.
14 + -14 + 6y = 18 + -14

Combine like terms: 14 + -14 = 0
0 + 6y = 18 + -14
6y = 18 + -14

Combine like terms: 18 + -14 = 4
6y = 4

Divide each side by '6'.
y = 0.6666666667

Simplifying
y = 0.6666666667

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