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

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

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

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

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

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

Reorder the terms:
-6y + (1y2) = 3

Solving
-6y + (1y2) = 3

Solving for variable 'y'.

Reorder the terms:
-3 + -6y + (1y2) = 3 + -3

Combine like terms: 3 + -3 = 0
-3 + -6y + (1y2) = 0

Begin completing the square.

Move the constant term to the right:

Add '3' to each side of the equation.
-3 + -6y + 3 + (y2) = 0 + 3
-3 + -6y + 3 + y2 = 0 + 3

Reorder the terms:
-3 + 3 + -6y + y2 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -6y + y2 = 0 + 3
-6y + y2 = 0 + 3

Combine like terms: 0 + 3 = 3
-6y + y2 = 3

The y term is -6y.  Take half its coefficient (-3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
-6y + 9 + y2 = 3 + 9

Reorder the terms:
9 + -6y + y2 = 3 + 9

Combine like terms: 3 + 9 = 12
9 + -6y + y2 = 12

Factor a perfect square on the left side:
((y) + -3)((y) + -3) = 12

Calculate the square root of the right side: 3.464101615

Break this problem into two subproblems by setting 
((y) + -3) equal to 3.464101615 and -3.464101615.

Subproblem 1
(y) + -3 = 3.464101615

Simplifying
(y) + -3 = 3.464101615
y + -3 = 3.464101615

Reorder the terms:
-3 + y = 3.464101615

Solving
-3 + y = 3.464101615

Solving for variable 'y'.

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

Add '3' to each side of the equation.
-3 + 3 + y = 3.464101615 + 3

Combine like terms: -3 + 3 = 0
0 + y = 3.464101615 + 3
y = 3.464101615 + 3

Combine like terms: 3.464101615 + 3 = 6.464101615
y = 6.464101615

Simplifying
y = 6.464101615

Subproblem 2
(y) + -3 = -3.464101615

Simplifying
(y) + -3 = -3.464101615
y + -3 = -3.464101615

Reorder the terms:
-3 + y = -3.464101615

Solving
-3 + y = -3.464101615

Solving for variable 'y'.

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

Add '3' to each side of the equation.
-3 + 3 + y = -3.464101615 + 3

Combine like terms: -3 + 3 = 0
0 + y = -3.464101615 + 3
y = -3.464101615 + 3

Combine like terms: -3.464101615 + 3 = -0.464101615
y = -0.464101615

Simplifying
y = -0.464101615

Solution
The solution to the problem is based on the solutions
from the subproblems.
y = {6.464101615, -0.464101615}