9y-12=-3(y-6)

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Solution for 9y-12=-3(y-6) equation:


Simplifying
9y + -12 = -3(y + -6)

Reorder the terms:
-12 + 9y = -3(y + -6)

Reorder the terms:
-12 + 9y = -3(-6 + y)
-12 + 9y = (-6 * -3 + y * -3)
-12 + 9y = (18 + -3y)

Solving
-12 + 9y = 18 + -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 + 9y + 3y = 18 + -3y + 3y

Combine like terms: 9y + 3y = 12y
-12 + 12y = 18 + -3y + 3y

Combine like terms: -3y + 3y = 0
-12 + 12y = 18 + 0
-12 + 12y = 18

Add '12' to each side of the equation.
-12 + 12 + 12y = 18 + 12

Combine like terms: -12 + 12 = 0
0 + 12y = 18 + 12
12y = 18 + 12

Combine like terms: 18 + 12 = 30
12y = 30

Divide each side by '12'.
y = 2.5

Simplifying
y = 2.5

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