3y*3(1-y)-y=6

Solution for 3y*3(1-y)-y=6 equation:

Simplifying
3y * 3(1 + -1y) + -1y = 6

Reorder the terms for easier multiplication:
3 * 3y(1 + -1y) + -1y = 6

Multiply 3 * 3
9y(1 + -1y) + -1y = 6
(1 * 9y + -1y * 9y) + -1y = 6
(9y + -9y2) + -1y = 6

Reorder the terms:
9y + -1y + -9y2 = 6

Combine like terms: 9y + -1y = 8y
8y + -9y2 = 6

Solving
8y + -9y2 = 6

Solving for variable 'y'.

Reorder the terms:
-6 + 8y + -9y2 = 6 + -6

Combine like terms: 6 + -6 = 0
-6 + 8y + -9y2 = 0

Begin completing the square.  Divide all terms by
-9 the coefficient of the squared term: 

Divide each side by '-9'.
0.6666666667 + -0.8888888889y + y2 = 0

Move the constant term to the right:

Add '-0.6666666667' to each side of the equation.
0.6666666667 + -0.8888888889y + -0.6666666667 + y2 = 0 + -0.6666666667

Reorder the terms:
0.6666666667 + -0.6666666667 + -0.8888888889y + y2 = 0 + -0.6666666667

Combine like terms: 0.6666666667 + -0.6666666667 = 0.0000000000
0.0000000000 + -0.8888888889y + y2 = 0 + -0.6666666667
-0.8888888889y + y2 = 0 + -0.6666666667

Combine like terms: 0 + -0.6666666667 = -0.6666666667
-0.8888888889y + y2 = -0.6666666667

The y term is -0.8888888889y.  Take half its coefficient (-0.4444444445).
Square it (0.1975308642) and add it to both sides.

Add '0.1975308642' to each side of the equation.
-0.8888888889y + 0.1975308642 + y2 = -0.6666666667 + 0.1975308642

Reorder the terms:
0.1975308642 + -0.8888888889y + y2 = -0.6666666667 + 0.1975308642

Combine like terms: -0.6666666667 + 0.1975308642 = -0.4691358025
0.1975308642 + -0.8888888889y + y2 = -0.4691358025

Factor a perfect square on the left side:
(y + -0.4444444445)(y + -0.4444444445) = -0.4691358025

Can't calculate square root of the right side.

The solution to this equation could not be determined.