6y-2=3(y-1)

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Solution for 6y-2=3(y-1) equation:


Simplifying
6y + -2 = 3(y + -1)

Reorder the terms:
-2 + 6y = 3(y + -1)

Reorder the terms:
-2 + 6y = 3(-1 + y)
-2 + 6y = (-1 * 3 + y * 3)
-2 + 6y = (-3 + 3y)

Solving
-2 + 6y = -3 + 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.
-2 + 6y + -3y = -3 + 3y + -3y

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

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

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

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

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

Divide each side by '3'.
y = -0.3333333333

Simplifying
y = -0.3333333333

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