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

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


Simplifying
-2 + 3(2y + -4) = -1(5 + -1y) + 6

Reorder the terms:
-2 + 3(-4 + 2y) = -1(5 + -1y) + 6
-2 + (-4 * 3 + 2y * 3) = -1(5 + -1y) + 6
-2 + (-12 + 6y) = -1(5 + -1y) + 6

Combine like terms: -2 + -12 = -14
-14 + 6y = -1(5 + -1y) + 6
-14 + 6y = (5 * -1 + -1y * -1) + 6
-14 + 6y = (-5 + 1y) + 6

Reorder the terms:
-14 + 6y = -5 + 6 + 1y

Combine like terms: -5 + 6 = 1
-14 + 6y = 1 + 1y

Solving
-14 + 6y = 1 + 1y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
-14 + 6y + -1y = 1 + 1y + -1y

Combine like terms: 6y + -1y = 5y
-14 + 5y = 1 + 1y + -1y

Combine like terms: 1y + -1y = 0
-14 + 5y = 1 + 0
-14 + 5y = 1

Add '14' to each side of the equation.
-14 + 14 + 5y = 1 + 14

Combine like terms: -14 + 14 = 0
0 + 5y = 1 + 14
5y = 1 + 14

Combine like terms: 1 + 14 = 15
5y = 15

Divide each side by '5'.
y = 3

Simplifying
y = 3

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