9-(2-3y)=6-2y-(5+y)

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Solution for 9-(2-3y)=6-2y-(5+y) equation: 


Simplifying
9 + -1(2 + -3y) = 6 + -2y + -1(5 + y)
9 + (2 * -1 + -3y * -1) = 6 + -2y + -1(5 + y)
9 + (-2 + 3y) = 6 + -2y + -1(5 + y)

Combine like terms: 9 + -2 = 7
7 + 3y = 6 + -2y + -1(5 + y)
7 + 3y = 6 + -2y + (5 * -1 + y * -1)
7 + 3y = 6 + -2y + (-5 + -1y)

Reorder the terms:
7 + 3y = 6 + -5 + -2y + -1y

Combine like terms: 6 + -5 = 1
7 + 3y = 1 + -2y + -1y

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

Solving
7 + 3y = 1 + -3y

Solving for variable 'y'.

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

Add '3y' to each side of the equation.
7 + 3y + 3y = 1 + -3y + 3y

Combine like terms: 3y + 3y = 6y
7 + 6y = 1 + -3y + 3y

Combine like terms: -3y + 3y = 0
7 + 6y = 1 + 0
7 + 6y = 1

Add '-7' to each side of the equation.
7 + -7 + 6y = 1 + -7

Combine like terms: 7 + -7 = 0
0 + 6y = 1 + -7
6y = 1 + -7

Combine like terms: 1 + -7 = -6
6y = -6

Divide each side by '6'.
y = -1

Simplifying
y = -1

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