12-(3y-2)=2(y-1)+3y

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Solution for 12-(3y-2)=2(y-1)+3y equation:


Simplifying
12 + -1(3y + -2) = 2(y + -1) + 3y

Reorder the terms:
12 + -1(-2 + 3y) = 2(y + -1) + 3y
12 + (-2 * -1 + 3y * -1) = 2(y + -1) + 3y
12 + (2 + -3y) = 2(y + -1) + 3y

Combine like terms: 12 + 2 = 14
14 + -3y = 2(y + -1) + 3y

Reorder the terms:
14 + -3y = 2(-1 + y) + 3y
14 + -3y = (-1 * 2 + y * 2) + 3y
14 + -3y = (-2 + 2y) + 3y

Combine like terms: 2y + 3y = 5y
14 + -3y = -2 + 5y

Solving
14 + -3y = -2 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
14 + -3y + -5y = -2 + 5y + -5y

Combine like terms: -3y + -5y = -8y
14 + -8y = -2 + 5y + -5y

Combine like terms: 5y + -5y = 0
14 + -8y = -2 + 0
14 + -8y = -2

Add '-14' to each side of the equation.
14 + -14 + -8y = -2 + -14

Combine like terms: 14 + -14 = 0
0 + -8y = -2 + -14
-8y = -2 + -14

Combine like terms: -2 + -14 = -16
-8y = -16

Divide each side by '-8'.
y = 2

Simplifying
y = 2

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