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

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


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

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

Reorder the terms:
-3 + -2 + 3y = 2y + 1

Combine like terms: -3 + -2 = -5
-5 + 3y = 2y + 1

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

Solving
-5 + 3y = 1 + 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.
-5 + 3y + -2y = 1 + 2y + -2y

Combine like terms: 3y + -2y = 1y
-5 + 1y = 1 + 2y + -2y

Combine like terms: 2y + -2y = 0
-5 + 1y = 1 + 0
-5 + 1y = 1

Add '5' to each side of the equation.
-5 + 5 + 1y = 1 + 5

Combine like terms: -5 + 5 = 0
0 + 1y = 1 + 5
1y = 1 + 5

Combine like terms: 1 + 5 = 6
1y = 6

Divide each side by '1'.
y = 6

Simplifying
y = 6

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