(y+3)+2y=(9y+6)-8

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Solution for (y+3)+2y=(9y+6)-8 equation:


Simplifying
(y + 3) + 2y = (9y + 6) + -8

Reorder the terms:
(3 + y) + 2y = (9y + 6) + -8

Remove parenthesis around (3 + y)
3 + y + 2y = (9y + 6) + -8

Combine like terms: y + 2y = 3y
3 + 3y = (9y + 6) + -8

Reorder the terms:
3 + 3y = (6 + 9y) + -8

Remove parenthesis around (6 + 9y)
3 + 3y = 6 + 9y + -8

Reorder the terms:
3 + 3y = 6 + -8 + 9y

Combine like terms: 6 + -8 = -2
3 + 3y = -2 + 9y

Solving
3 + 3y = -2 + 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.
3 + 3y + -9y = -2 + 9y + -9y

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

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

Add '-3' to each side of the equation.
3 + -3 + -6y = -2 + -3

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

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

Divide each side by '-6'.
y = 0.8333333333

Simplifying
y = 0.8333333333

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