3-(y-2)=2y-1

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


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

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

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

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

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

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

Combine like terms: 2y + -2y = 0
5 + -3y = -1 + 0
5 + -3y = -1

Add '-5' to each side of the equation.
5 + -5 + -3y = -1 + -5

Combine like terms: 5 + -5 = 0
0 + -3y = -1 + -5
-3y = -1 + -5

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

Divide each side by '-3'.
y = 2

Simplifying
y = 2

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