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

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


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

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

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

Reorder the terms:
-1 + 6 + -3Y + 2Y = 3

Combine like terms: -1 + 6 = 5
5 + -3Y + 2Y = 3

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

Solving
5 + -1Y = 3

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 = 3 + -5

Combine like terms: 5 + -5 = 0
0 + -1Y = 3 + -5
-1Y = 3 + -5

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

Divide each side by '-1'.
Y = 2

Simplifying
Y = 2

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