2+3(y-1)=3(2-y)+5

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Solution for 2+3(y-1)=3(2-y)+5 equation: 


Simplifying
2 + 3(y + -1) = 3(2 + -1y) + 5

Reorder the terms:
2 + 3(-1 + y) = 3(2 + -1y) + 5
2 + (-1 * 3 + y * 3) = 3(2 + -1y) + 5
2 + (-3 + 3y) = 3(2 + -1y) + 5

Combine like terms: 2 + -3 = -1
-1 + 3y = 3(2 + -1y) + 5
-1 + 3y = (2 * 3 + -1y * 3) + 5
-1 + 3y = (6 + -3y) + 5

Reorder the terms:
-1 + 3y = 6 + 5 + -3y

Combine like terms: 6 + 5 = 11
-1 + 3y = 11 + -3y

Solving
-1 + 3y = 11 + -3y

Solving for variable 'y'.

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

Add '3y' to each side of the equation.
-1 + 3y + 3y = 11 + -3y + 3y

Combine like terms: 3y + 3y = 6y
-1 + 6y = 11 + -3y + 3y

Combine like terms: -3y + 3y = 0
-1 + 6y = 11 + 0
-1 + 6y = 11

Add '1' to each side of the equation.
-1 + 1 + 6y = 11 + 1

Combine like terms: -1 + 1 = 0
0 + 6y = 11 + 1
6y = 11 + 1

Combine like terms: 11 + 1 = 12
6y = 12

Divide each side by '6'.
y = 2

Simplifying
y = 2

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