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

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


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

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

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

Reorder the terms:
-2 + -6 + 2y + -3y = 3 + -2y

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

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

Solving
-8 + -1y = 3 + -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.
-8 + -1y + 2y = 3 + -2y + 2y

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

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

Add '8' to each side of the equation.
-8 + 8 + 1y = 3 + 8

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

Combine like terms: 3 + 8 = 11
1y = 11

Divide each side by '1'.
y = 11

Simplifying
y = 11

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