-(4Y+1)-(-3Y-8)=8

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Solution for -(4Y+1)-(-3Y-8)=8 equation: 


Simplifying
-1(4Y + 1) + -1(-3Y + -8) = 8

Reorder the terms:
-1(1 + 4Y) + -1(-3Y + -8) = 8
(1 * -1 + 4Y * -1) + -1(-3Y + -8) = 8
(-1 + -4Y) + -1(-3Y + -8) = 8

Reorder the terms:
-1 + -4Y + -1(-8 + -3Y) = 8
-1 + -4Y + (-8 * -1 + -3Y * -1) = 8
-1 + -4Y + (8 + 3Y) = 8

Reorder the terms:
-1 + 8 + -4Y + 3Y = 8

Combine like terms: -1 + 8 = 7
7 + -4Y + 3Y = 8

Combine like terms: -4Y + 3Y = -1Y
7 + -1Y = 8

Solving
7 + -1Y = 8

Solving for variable 'Y'.

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

Add '-7' to each side of the equation.
7 + -7 + -1Y = 8 + -7

Combine like terms: 7 + -7 = 0
0 + -1Y = 8 + -7
-1Y = 8 + -7

Combine like terms: 8 + -7 = 1
-1Y = 1

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

Simplifying
Y = -1

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