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

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


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

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

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

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

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

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

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

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

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

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

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

Divide each side by '1'.
y = -7

Simplifying
y = -7

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