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

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


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

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

Reorder the terms:
8 + 3y = 4 + -9 + y + 3y

Combine like terms: 4 + -9 = -5
8 + 3y = -5 + y + 3y

Combine like terms: y + 3y = 4y
8 + 3y = -5 + 4y

Solving
8 + 3y = -5 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
8 + 3y + -4y = -5 + 4y + -4y

Combine like terms: 3y + -4y = -1y
8 + -1y = -5 + 4y + -4y

Combine like terms: 4y + -4y = 0
8 + -1y = -5 + 0
8 + -1y = -5

Add '-8' to each side of the equation.
8 + -8 + -1y = -5 + -8

Combine like terms: 8 + -8 = 0
0 + -1y = -5 + -8
-1y = -5 + -8

Combine like terms: -5 + -8 = -13
-1y = -13

Divide each side by '-1'.
y = 13

Simplifying
y = 13

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