2-6(y+1)=4(2-3y)+6

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Solution for 2-6(y+1)=4(2-3y)+6 equation: 


Simplifying
2 + -6(y + 1) = 4(2 + -3y) + 6

Reorder the terms:
2 + -6(1 + y) = 4(2 + -3y) + 6
2 + (1 * -6 + y * -6) = 4(2 + -3y) + 6
2 + (-6 + -6y) = 4(2 + -3y) + 6

Combine like terms: 2 + -6 = -4
-4 + -6y = 4(2 + -3y) + 6
-4 + -6y = (2 * 4 + -3y * 4) + 6
-4 + -6y = (8 + -12y) + 6

Reorder the terms:
-4 + -6y = 8 + 6 + -12y

Combine like terms: 8 + 6 = 14
-4 + -6y = 14 + -12y

Solving
-4 + -6y = 14 + -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.
-4 + -6y + 12y = 14 + -12y + 12y

Combine like terms: -6y + 12y = 6y
-4 + 6y = 14 + -12y + 12y

Combine like terms: -12y + 12y = 0
-4 + 6y = 14 + 0
-4 + 6y = 14

Add '4' to each side of the equation.
-4 + 4 + 6y = 14 + 4

Combine like terms: -4 + 4 = 0
0 + 6y = 14 + 4
6y = 14 + 4

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

Divide each side by '6'.
y = 3

Simplifying
y = 3

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