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

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


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

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

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

Solving
9 + 3y = 4 + -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.
9 + 3y + 2y = 4 + -2y + 2y

Combine like terms: 3y + 2y = 5y
9 + 5y = 4 + -2y + 2y

Combine like terms: -2y + 2y = 0
9 + 5y = 4 + 0
9 + 5y = 4

Add '-9' to each side of the equation.
9 + -9 + 5y = 4 + -9

Combine like terms: 9 + -9 = 0
0 + 5y = 4 + -9
5y = 4 + -9

Combine like terms: 4 + -9 = -5
5y = -5

Divide each side by '5'.
y = -1

Simplifying
y = -1

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