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

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


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

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

Reorder the terms:
-4 + 3y + -2y = 2 + -2y

Combine like terms: 3y + -2y = 1y
-4 + 1y = 2 + -2y

Solving
-4 + 1y = 2 + -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.
-4 + 1y + 2y = 2 + -2y + 2y

Combine like terms: 1y + 2y = 3y
-4 + 3y = 2 + -2y + 2y

Combine like terms: -2y + 2y = 0
-4 + 3y = 2 + 0
-4 + 3y = 2

Add '4' to each side of the equation.
-4 + 4 + 3y = 2 + 4

Combine like terms: -4 + 4 = 0
0 + 3y = 2 + 4
3y = 2 + 4

Combine like terms: 2 + 4 = 6
3y = 6

Divide each side by '3'.
y = 2

Simplifying
y = 2

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