-(5y+5)-(-4y-8)=2

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Solution for -(5y+5)-(-4y-8)=2 equation: 


Simplifying
-1(5y + 5) + -1(-4y + -8) = 2

Reorder the terms:
-1(5 + 5y) + -1(-4y + -8) = 2
(5 * -1 + 5y * -1) + -1(-4y + -8) = 2
(-5 + -5y) + -1(-4y + -8) = 2

Reorder the terms:
-5 + -5y + -1(-8 + -4y) = 2
-5 + -5y + (-8 * -1 + -4y * -1) = 2
-5 + -5y + (8 + 4y) = 2

Reorder the terms:
-5 + 8 + -5y + 4y = 2

Combine like terms: -5 + 8 = 3
3 + -5y + 4y = 2

Combine like terms: -5y + 4y = -1y
3 + -1y = 2

Solving
3 + -1y = 2

Solving for variable 'y'.

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

Add '-3' to each side of the equation.
3 + -3 + -1y = 2 + -3

Combine like terms: 3 + -3 = 0
0 + -1y = 2 + -3
-1y = 2 + -3

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

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

Simplifying
y = 1

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