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

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


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

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

Combine like terms: -9y + 3y = -6y
3 + -6y = 9 + 4(3y + -3)

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

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

Solving
3 + -6y = -3 + 12y

Solving for variable 'y'.

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

Add '-12y' to each side of the equation.
3 + -6y + -12y = -3 + 12y + -12y

Combine like terms: -6y + -12y = -18y
3 + -18y = -3 + 12y + -12y

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

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

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

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

Divide each side by '-18'.
y = 0.3333333333

Simplifying
y = 0.3333333333

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