.3333333(y+9)+6=.16666(9y-11)-9

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Solution for .3333333(y+9)+6=.16666(9y-11)-9 equation: 


Simplifying
0.3333333(y + 9) + 6 = 0.16666(9y + -11) + -9

Reorder the terms:
0.3333333(9 + y) + 6 = 0.16666(9y + -11) + -9
(9 * 0.3333333 + y * 0.3333333) + 6 = 0.16666(9y + -11) + -9
(2.9999997 + 0.3333333y) + 6 = 0.16666(9y + -11) + -9

Reorder the terms:
2.9999997 + 6 + 0.3333333y = 0.16666(9y + -11) + -9

Combine like terms: 2.9999997 + 6 = 8.9999997
8.9999997 + 0.3333333y = 0.16666(9y + -11) + -9

Reorder the terms:
8.9999997 + 0.3333333y = 0.16666(-11 + 9y) + -9
8.9999997 + 0.3333333y = (-11 * 0.16666 + 9y * 0.16666) + -9
8.9999997 + 0.3333333y = (-1.83326 + 1.49994y) + -9

Reorder the terms:
8.9999997 + 0.3333333y = -1.83326 + -9 + 1.49994y

Combine like terms: -1.83326 + -9 = -10.83326
8.9999997 + 0.3333333y = -10.83326 + 1.49994y

Solving
8.9999997 + 0.3333333y = -10.83326 + 1.49994y

Solving for variable 'y'.

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

Add '-1.49994y' to each side of the equation.
8.9999997 + 0.3333333y + -1.49994y = -10.83326 + 1.49994y + -1.49994y

Combine like terms: 0.3333333y + -1.49994y = -1.1666067y
8.9999997 + -1.1666067y = -10.83326 + 1.49994y + -1.49994y

Combine like terms: 1.49994y + -1.49994y = 0.00000
8.9999997 + -1.1666067y = -10.83326 + 0.00000
8.9999997 + -1.1666067y = -10.83326

Add '-8.9999997' to each side of the equation.
8.9999997 + -8.9999997 + -1.1666067y = -10.83326 + -8.9999997

Combine like terms: 8.9999997 + -8.9999997 = 0.0000000
0.0000000 + -1.1666067y = -10.83326 + -8.9999997
-1.1666067y = -10.83326 + -8.9999997

Combine like terms: -10.83326 + -8.9999997 = -19.8332597
-1.1666067y = -19.8332597

Divide each side by '-1.1666067'.
y = 17.00081073

Simplifying
y = 17.00081073

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