3y-y^2=3

Solution for 3y-y^2=3 equation:

Simplifying
3y + -1y2 = 3

Solving
3y + -1y2 = 3

Solving for variable 'y'.

Reorder the terms:
-3 + 3y + -1y2 = 3 + -3

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

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
3 + -3y + y2 = 0

Move the constant term to the right:

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

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

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

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

The y term is -3y.  Take half its coefficient (-1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
-3y + 2.25 + y2 = -3 + 2.25

Reorder the terms:
2.25 + -3y + y2 = -3 + 2.25

Combine like terms: -3 + 2.25 = -0.75
2.25 + -3y + y2 = -0.75

Factor a perfect square on the left side:
(y + -1.5)(y + -1.5) = -0.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.