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

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


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

Combine like terms: 2 + 9 = 11
9 + -1(11 + -3y) = 6 + 2y + -1(5 + y)
9 + (11 * -1 + -3y * -1) = 6 + 2y + -1(5 + y)
9 + (-11 + 3y) = 6 + 2y + -1(5 + y)

Combine like terms: 9 + -11 = -2
-2 + 3y = 6 + 2y + -1(5 + y)
-2 + 3y = 6 + 2y + (5 * -1 + y * -1)
-2 + 3y = 6 + 2y + (-5 + -1y)

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

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

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

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

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

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

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

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

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

Divide each side by '2'.
y = 1.5

Simplifying
y = 1.5

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