3(2y-4)=9-3(y+1)

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Solution for 3(2y-4)=9-3(y+1) equation:


Simplifying
3(2y + -4) = 9 + -3(y + 1)

Reorder the terms:
3(-4 + 2y) = 9 + -3(y + 1)
(-4 * 3 + 2y * 3) = 9 + -3(y + 1)
(-12 + 6y) = 9 + -3(y + 1)

Reorder the terms:
-12 + 6y = 9 + -3(1 + y)
-12 + 6y = 9 + (1 * -3 + y * -3)
-12 + 6y = 9 + (-3 + -3y)

Combine like terms: 9 + -3 = 6
-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 = 9y
-12 + 9y = 6 + -3y + 3y

Combine like terms: -3y + 3y = 0
-12 + 9y = 6 + 0
-12 + 9y = 6

Add '12' to each side of the equation.
-12 + 12 + 9y = 6 + 12

Combine like terms: -12 + 12 = 0
0 + 9y = 6 + 12
9y = 6 + 12

Combine like terms: 6 + 12 = 18
9y = 18

Divide each side by '9'.
y = 2

Simplifying
y = 2

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