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

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


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

Reorder the terms:
6(-2 + y) = 6(y + -1) + -3y
(-2 * 6 + y * 6) = 6(y + -1) + -3y
(-12 + 6y) = 6(y + -1) + -3y

Reorder the terms:
-12 + 6y = 6(-1 + y) + -3y
-12 + 6y = (-1 * 6 + y * 6) + -3y
-12 + 6y = (-6 + 6y) + -3y

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