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

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


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

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

Combine like terms: 2 + 3 = 5
5 + -1y = 2y + -6

Reorder the terms:
5 + -1y = -6 + 2y

Solving
5 + -1y = -6 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
5 + -1y + -2y = -6 + 2y + -2y

Combine like terms: -1y + -2y = -3y
5 + -3y = -6 + 2y + -2y

Combine like terms: 2y + -2y = 0
5 + -3y = -6 + 0
5 + -3y = -6

Add '-5' to each side of the equation.
5 + -5 + -3y = -6 + -5

Combine like terms: 5 + -5 = 0
0 + -3y = -6 + -5
-3y = -6 + -5

Combine like terms: -6 + -5 = -11
-3y = -11

Divide each side by '-3'.
y = 3.666666667

Simplifying
y = 3.666666667

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