3y-6=-3(y-2)

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


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

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

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

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

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

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

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

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

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

Divide each side by '6'.
y = 2

Simplifying
y = 2

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