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

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


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

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

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

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

Combine like terms: -2 + 6 = 4
4 + -3Y + 2Y = 1

Combine like terms: -3Y + 2Y = -1Y
4 + -1Y = 1

Solving
4 + -1Y = 1

Solving for variable 'Y'.

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

Add '-4' to each side of the equation.
4 + -4 + -1Y = 1 + -4

Combine like terms: 4 + -4 = 0
0 + -1Y = 1 + -4
-1Y = 1 + -4

Combine like terms: 1 + -4 = -3
-1Y = -3

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

Simplifying
Y = 3

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