(3y-12)=6-2(y-1)

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Solution for (3y-12)=6-2(y-1) equation:


Simplifying
(3y + -12) = 6 + -2(y + -1)

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

Remove parenthesis around (-12 + 3y)
-12 + 3y = 6 + -2(y + -1)

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

Combine like terms: 6 + 2 = 8
-12 + 3y = 8 + -2y

Solving
-12 + 3y = 8 + -2y

Solving for variable 'y'.

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

Add '2y' to each side of the equation.
-12 + 3y + 2y = 8 + -2y + 2y

Combine like terms: 3y + 2y = 5y
-12 + 5y = 8 + -2y + 2y

Combine like terms: -2y + 2y = 0
-12 + 5y = 8 + 0
-12 + 5y = 8

Add '12' to each side of the equation.
-12 + 12 + 5y = 8 + 12

Combine like terms: -12 + 12 = 0
0 + 5y = 8 + 12
5y = 8 + 12

Combine like terms: 8 + 12 = 20
5y = 20

Divide each side by '5'.
y = 4

Simplifying
y = 4

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