6+y=11-2(y+1)

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Solution for 6+y=11-2(y+1) equation:


Simplifying
6 + y = 11 + -2(y + 1)

Reorder the terms:
6 + y = 11 + -2(1 + y)
6 + y = 11 + (1 * -2 + y * -2)
6 + y = 11 + (-2 + -2y)

Combine like terms: 11 + -2 = 9
6 + y = 9 + -2y

Solving
6 + y = 9 + -2y

Solving for variable 'y'.

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

Add '2y' to each side of the equation.
6 + y + 2y = 9 + -2y + 2y

Combine like terms: y + 2y = 3y
6 + 3y = 9 + -2y + 2y

Combine like terms: -2y + 2y = 0
6 + 3y = 9 + 0
6 + 3y = 9

Add '-6' to each side of the equation.
6 + -6 + 3y = 9 + -6

Combine like terms: 6 + -6 = 0
0 + 3y = 9 + -6
3y = 9 + -6

Combine like terms: 9 + -6 = 3
3y = 3

Divide each side by '3'.
y = 1

Simplifying
y = 1

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