3(y-2)=9(y+2)

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Solution for 3(y-2)=9(y+2) equation:


Simplifying
3(y + -2) = 9(y + 2)

Reorder the terms:
3(-2 + y) = 9(y + 2)
(-2 * 3 + y * 3) = 9(y + 2)
(-6 + 3y) = 9(y + 2)

Reorder the terms:
-6 + 3y = 9(2 + y)
-6 + 3y = (2 * 9 + y * 9)
-6 + 3y = (18 + 9y)

Solving
-6 + 3y = 18 + 9y

Solving for variable 'y'.

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

Add '-9y' to each side of the equation.
-6 + 3y + -9y = 18 + 9y + -9y

Combine like terms: 3y + -9y = -6y
-6 + -6y = 18 + 9y + -9y

Combine like terms: 9y + -9y = 0
-6 + -6y = 18 + 0
-6 + -6y = 18

Add '6' to each side of the equation.
-6 + 6 + -6y = 18 + 6

Combine like terms: -6 + 6 = 0
0 + -6y = 18 + 6
-6y = 18 + 6

Combine like terms: 18 + 6 = 24
-6y = 24

Divide each side by '-6'.
y = -4

Simplifying
y = -4

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