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

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


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

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

Combine like terms: 6 + 2 = 8
8 + -2y = 2 + -3y

Solving
8 + -2y = 2 + -3y

Solving for variable 'y'.

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

Add '3y' to each side of the equation.
8 + -2y + 3y = 2 + -3y + 3y

Combine like terms: -2y + 3y = 1y
8 + 1y = 2 + -3y + 3y

Combine like terms: -3y + 3y = 0
8 + 1y = 2 + 0
8 + 1y = 2

Add '-8' to each side of the equation.
8 + -8 + 1y = 2 + -8

Combine like terms: 8 + -8 = 0
0 + 1y = 2 + -8
1y = 2 + -8

Combine like terms: 2 + -8 = -6
1y = -6

Divide each side by '1'.
y = -6

Simplifying
y = -6

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