-(5y+3)-(-4y-8)=-2

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Solution for -(5y+3)-(-4y-8)=-2 equation:


Simplifying
-1(5y + 3) + -1(-4y + -8) = -2

Reorder the terms:
-1(3 + 5y) + -1(-4y + -8) = -2
(3 * -1 + 5y * -1) + -1(-4y + -8) = -2
(-3 + -5y) + -1(-4y + -8) = -2

Reorder the terms:
-3 + -5y + -1(-8 + -4y) = -2
-3 + -5y + (-8 * -1 + -4y * -1) = -2
-3 + -5y + (8 + 4y) = -2

Reorder the terms:
-3 + 8 + -5y + 4y = -2

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

Combine like terms: -5y + 4y = -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 = -7
-1y = -7

Divide each side by '-1'.
y = 7

Simplifying
y = 7

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