9-(1-3y)=4+y-(4-y)

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Solution for 9-(1-3y)=4+y-(4-y) equation: 


Simplifying
9 + -1(1 + -3y) = 4 + y + -1(4 + -1y)
9 + (1 * -1 + -3y * -1) = 4 + y + -1(4 + -1y)
9 + (-1 + 3y) = 4 + y + -1(4 + -1y)

Combine like terms: 9 + -1 = 8
8 + 3y = 4 + y + -1(4 + -1y)
8 + 3y = 4 + y + (4 * -1 + -1y * -1)
8 + 3y = 4 + y + (-4 + 1y)

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

Combine like terms: 4 + -4 = 0
8 + 3y = 0 + y + 1y
8 + 3y = y + 1y

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

Solving
8 + 3y = 2y

Solving for variable 'y'.

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

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

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

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

Add '-8' to each side of the equation.
8 + -8 + 1y = 0 + -8

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

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

Divide each side by '1'.
y = -8

Simplifying
y = -8

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