9-(1-3y)=5+y-(3-Y)

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Solution for 9-(1-3y)=5+y-(3-Y) equation: 


Simplifying
9 + -1(1 + -3y) = 5 + y + -1(3 + -1Y)
9 + (1 * -1 + -3y * -1) = 5 + y + -1(3 + -1Y)
9 + (-1 + 3y) = 5 + y + -1(3 + -1Y)

Combine like terms: 9 + -1 = 8
8 + 3y = 5 + y + -1(3 + -1Y)
8 + 3y = 5 + y + (3 * -1 + -1Y * -1)
8 + 3y = 5 + y + (-3 + 1Y)

Reorder the terms:
8 + 3y = 5 + -3 + 1Y + y

Combine like terms: 5 + -3 = 2
8 + 3y = 2 + 1Y + y

Solving
8 + 3y = 2 + 1Y + y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
8 + 3y + -1y = 2 + 1Y + y + -1y

Combine like terms: 3y + -1y = 2y
8 + 2y = 2 + 1Y + y + -1y

Combine like terms: y + -1y = 0
8 + 2y = 2 + 1Y + 0
8 + 2y = 2 + 1Y

Add '-8' to each side of the equation.
8 + -8 + 2y = 2 + -8 + 1Y

Combine like terms: 8 + -8 = 0
0 + 2y = 2 + -8 + 1Y
2y = 2 + -8 + 1Y

Combine like terms: 2 + -8 = -6
2y = -6 + 1Y

Divide each side by '2'.
y = -3 + 0.5Y

Simplifying
y = -3 + 0.5Y

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