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

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


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

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

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

Solving
6 + 3y = -9 + -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.
6 + 3y + 2y = -9 + -2y + 2y

Combine like terms: 3y + 2y = 5y
6 + 5y = -9 + -2y + 2y

Combine like terms: -2y + 2y = 0
6 + 5y = -9 + 0
6 + 5y = -9

Add '-6' to each side of the equation.
6 + -6 + 5y = -9 + -6

Combine like terms: 6 + -6 = 0
0 + 5y = -9 + -6
5y = -9 + -6

Combine like terms: -9 + -6 = -15
5y = -15

Divide each side by '5'.
y = -3

Simplifying
y = -3

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