2y-12=6(y-1)

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


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

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

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

Solving
-12 + 2y = -6 + 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.
-12 + 2y + -6y = -6 + 6y + -6y

Combine like terms: 2y + -6y = -4y
-12 + -4y = -6 + 6y + -6y

Combine like terms: 6y + -6y = 0
-12 + -4y = -6 + 0
-12 + -4y = -6

Add '12' to each side of the equation.
-12 + 12 + -4y = -6 + 12

Combine like terms: -12 + 12 = 0
0 + -4y = -6 + 12
-4y = -6 + 12

Combine like terms: -6 + 12 = 6
-4y = 6

Divide each side by '-4'.
y = -1.5

Simplifying
y = -1.5

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