6y-12=3(y-2)

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Solution for 6y-12=3(y-2) equation:


Simplifying
6y + -12 = 3(y + -2)

Reorder the terms:
-12 + 6y = 3(y + -2)

Reorder the terms:
-12 + 6y = 3(-2 + y)
-12 + 6y = (-2 * 3 + y * 3)
-12 + 6y = (-6 + 3y)

Solving
-12 + 6y = -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.
-12 + 6y + -3y = -6 + 3y + -3y

Combine like terms: 6y + -3y = 3y
-12 + 3y = -6 + 3y + -3y

Combine like terms: 3y + -3y = 0
-12 + 3y = -6 + 0
-12 + 3y = -6

Add '12' to each side of the equation.
-12 + 12 + 3y = -6 + 12

Combine like terms: -12 + 12 = 0
0 + 3y = -6 + 12
3y = -6 + 12

Combine like terms: -6 + 12 = 6
3y = 6

Divide each side by '3'.
y = 2

Simplifying
y = 2

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