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

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


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

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

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

Combine like terms: 3 + 6 = 9
9 + 9y = 9 + -2y

Add '-9' to each side of the equation.
9 + -9 + 9y = 9 + -9 + -2y

Combine like terms: 9 + -9 = 0
0 + 9y = 9 + -9 + -2y
9y = 9 + -9 + -2y

Combine like terms: 9 + -9 = 0
9y = 0 + -2y
9y = -2y

Solving
9y = -2y

Solving for variable 'y'.

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

Add '2y' to each side of the equation.
9y + 2y = -2y + 2y

Combine like terms: 9y + 2y = 11y
11y = -2y + 2y

Combine like terms: -2y + 2y = 0
11y = 0

Divide each side by '11'.
y = 0

Simplifying
y = 0

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