3y-6=6(y-2)

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


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

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

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

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

Solving for variable 'y'.

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

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

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

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

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

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

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

Divide each side by '-3'.
y = 2

Simplifying
y = 2

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