-(3y+3)-(-2y-8)=2

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Solution for -(3y+3)-(-2y-8)=2 equation:


Simplifying
-1(3y + 3) + -1(-2y + -8) = 2

Reorder the terms:
-1(3 + 3y) + -1(-2y + -8) = 2
(3 * -1 + 3y * -1) + -1(-2y + -8) = 2
(-3 + -3y) + -1(-2y + -8) = 2

Reorder the terms:
-3 + -3y + -1(-8 + -2y) = 2
-3 + -3y + (-8 * -1 + -2y * -1) = 2
-3 + -3y + (8 + 2y) = 2

Reorder the terms:
-3 + 8 + -3y + 2y = 2

Combine like terms: -3 + 8 = 5
5 + -3y + 2y = 2

Combine like terms: -3y + 2y = -1y
5 + -1y = 2

Solving
5 + -1y = 2

Solving for variable 'y'.

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

Add '-5' to each side of the equation.
5 + -5 + -1y = 2 + -5

Combine like terms: 5 + -5 = 0
0 + -1y = 2 + -5
-1y = 2 + -5

Combine like terms: 2 + -5 = -3
-1y = -3

Divide each side by '-1'.
y = 3

Simplifying
y = 3

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