3(y-3)=9y+3-2(-6y-2)

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Solution for 3(y-3)=9y+3-2(-6y-2) equation:


Simplifying
3(y + -3) = 9y + 3 + -2(-6y + -2)

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

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

Reorder the terms:
-9 + 3y = 3 + 4 + 9y + 12y

Combine like terms: 3 + 4 = 7
-9 + 3y = 7 + 9y + 12y

Combine like terms: 9y + 12y = 21y
-9 + 3y = 7 + 21y

Solving
-9 + 3y = 7 + 21y

Solving for variable 'y'.

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

Add '-21y' to each side of the equation.
-9 + 3y + -21y = 7 + 21y + -21y

Combine like terms: 3y + -21y = -18y
-9 + -18y = 7 + 21y + -21y

Combine like terms: 21y + -21y = 0
-9 + -18y = 7 + 0
-9 + -18y = 7

Add '9' to each side of the equation.
-9 + 9 + -18y = 7 + 9

Combine like terms: -9 + 9 = 0
0 + -18y = 7 + 9
-18y = 7 + 9

Combine like terms: 7 + 9 = 16
-18y = 16

Divide each side by '-18'.
y = -0.8888888889

Simplifying
y = -0.8888888889

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