12y-(y+2)=5y+2

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Solution for 12y-(y+2)=5y+2 equation: 


Simplifying
12y + -1(y + 2) = 5y + 2

Reorder the terms:
12y + -1(2 + y) = 5y + 2
12y + (2 * -1 + y * -1) = 5y + 2
12y + (-2 + -1y) = 5y + 2

Reorder the terms:
-2 + 12y + -1y = 5y + 2

Combine like terms: 12y + -1y = 11y
-2 + 11y = 5y + 2

Reorder the terms:
-2 + 11y = 2 + 5y

Solving
-2 + 11y = 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.
-2 + 11y + -5y = 2 + 5y + -5y

Combine like terms: 11y + -5y = 6y
-2 + 6y = 2 + 5y + -5y

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

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

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

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

Divide each side by '6'.
y = 0.6666666667

Simplifying
y = 0.6666666667

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