-(6Y+3)-(-5Y-8)=-2

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Solution for -(6Y+3)-(-5Y-8)=-2 equation:


Simplifying
-1(6Y + 3) + -1(-5Y + -8) = -2

Reorder the terms:
-1(3 + 6Y) + -1(-5Y + -8) = -2
(3 * -1 + 6Y * -1) + -1(-5Y + -8) = -2
(-3 + -6Y) + -1(-5Y + -8) = -2

Reorder the terms:
-3 + -6Y + -1(-8 + -5Y) = -2
-3 + -6Y + (-8 * -1 + -5Y * -1) = -2
-3 + -6Y + (8 + 5Y) = -2

Reorder the terms:
-3 + 8 + -6Y + 5Y = -2

Combine like terms: -3 + 8 = 5
5 + -6Y + 5Y = -2

Combine like terms: -6Y + 5Y = -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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