3(y+1)=-2(y-2)-6

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Solution for 3(y+1)=-2(y-2)-6 equation: 


Simplifying
3(y + 1) = -2(y + -2) + -6

Reorder the terms:
3(1 + y) = -2(y + -2) + -6
(1 * 3 + y * 3) = -2(y + -2) + -6
(3 + 3y) = -2(y + -2) + -6

Reorder the terms:
3 + 3y = -2(-2 + y) + -6
3 + 3y = (-2 * -2 + y * -2) + -6
3 + 3y = (4 + -2y) + -6

Reorder the terms:
3 + 3y = 4 + -6 + -2y

Combine like terms: 4 + -6 = -2
3 + 3y = -2 + -2y

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

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

Combine like terms: -2y + 2y = 0
3 + 5y = -2 + 0
3 + 5y = -2

Add '-3' to each side of the equation.
3 + -3 + 5y = -2 + -3

Combine like terms: 3 + -3 = 0
0 + 5y = -2 + -3
5y = -2 + -3

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

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

Simplifying
y = -1

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