9-1+3y=4+y-2(3-2y)

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Solution for 9-1+3y=4+y-2(3-2y) equation: 


Simplifying
9 + -1 + 3y = 4 + y + -2(3 + -2y)

Combine like terms: 9 + -1 = 8
8 + 3y = 4 + y + -2(3 + -2y)
8 + 3y = 4 + y + (3 * -2 + -2y * -2)
8 + 3y = 4 + y + (-6 + 4y)

Reorder the terms:
8 + 3y = 4 + -6 + y + 4y

Combine like terms: 4 + -6 = -2
8 + 3y = -2 + y + 4y

Combine like terms: y + 4y = 5y
8 + 3y = -2 + 5y

Solving
8 + 3y = -2 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
8 + 3y + -5y = -2 + 5y + -5y

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

Combine like terms: 5y + -5y = 0
8 + -2y = -2 + 0
8 + -2y = -2

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

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

Combine like terms: -2 + -8 = -10
-2y = -10

Divide each side by '-2'.
y = 5

Simplifying
y = 5

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