2+(y+16)=6-9(y+2)

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Solution for 2+(y+16)=6-9(y+2) equation:


Simplifying
2 + (y + 16) = 6 + -9(y + 2)

Reorder the terms:
2 + (16 + y) = 6 + -9(y + 2)

Remove parenthesis around (16 + y)
2 + 16 + y = 6 + -9(y + 2)

Combine like terms: 2 + 16 = 18
18 + y = 6 + -9(y + 2)

Reorder the terms:
18 + y = 6 + -9(2 + y)
18 + y = 6 + (2 * -9 + y * -9)
18 + y = 6 + (-18 + -9y)

Combine like terms: 6 + -18 = -12
18 + y = -12 + -9y

Solving
18 + y = -12 + -9y

Solving for variable 'y'.

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

Add '9y' to each side of the equation.
18 + y + 9y = -12 + -9y + 9y

Combine like terms: y + 9y = 10y
18 + 10y = -12 + -9y + 9y

Combine like terms: -9y + 9y = 0
18 + 10y = -12 + 0
18 + 10y = -12

Add '-18' to each side of the equation.
18 + -18 + 10y = -12 + -18

Combine like terms: 18 + -18 = 0
0 + 10y = -12 + -18
10y = -12 + -18

Combine like terms: -12 + -18 = -30
10y = -30

Divide each side by '10'.
y = -3

Simplifying
y = -3

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