9-(2-3y)=4+2y-(5+y)

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Solution for 9-(2-3y)=4+2y-(5+y) equation: 


Simplifying
9 + -1(2 + -3y) = 4 + 2y + -1(5 + y)
9 + (2 * -1 + -3y * -1) = 4 + 2y + -1(5 + y)
9 + (-2 + 3y) = 4 + 2y + -1(5 + y)

Combine like terms: 9 + -2 = 7
7 + 3y = 4 + 2y + -1(5 + y)
7 + 3y = 4 + 2y + (5 * -1 + y * -1)
7 + 3y = 4 + 2y + (-5 + -1y)

Reorder the terms:
7 + 3y = 4 + -5 + 2y + -1y

Combine like terms: 4 + -5 = -1
7 + 3y = -1 + 2y + -1y

Combine like terms: 2y + -1y = 1y
7 + 3y = -1 + 1y

Solving
7 + 3y = -1 + 1y

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.
7 + 3y + -1y = -1 + 1y + -1y

Combine like terms: 3y + -1y = 2y
7 + 2y = -1 + 1y + -1y

Combine like terms: 1y + -1y = 0
7 + 2y = -1 + 0
7 + 2y = -1

Add '-7' to each side of the equation.
7 + -7 + 2y = -1 + -7

Combine like terms: 7 + -7 = 0
0 + 2y = -1 + -7
2y = -1 + -7

Combine like terms: -1 + -7 = -8
2y = -8

Divide each side by '2'.
y = -4

Simplifying
y = -4

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