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

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


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

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

Reorder the terms:
9 + 6y = -9 + -3y

Solving
9 + 6y = -9 + -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.
9 + 6y + 3y = -9 + -3y + 3y

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

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

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

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

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

Divide each side by '9'.
y = -2

Simplifying
y = -2

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