(2y^2-6y+3)+(7y+2)-(y^2+1)=

Solution for (2y^2-6y+3)+(7y+2)-(y^2+1)= equation:

Simplifying
(2y2 + -6y + 3) + (7y + 2) + -1(y2 + 1) = 0

Reorder the terms:
(3 + -6y + 2y2) + (7y + 2) + -1(y2 + 1) = 0

Remove parenthesis around (3 + -6y + 2y2)
3 + -6y + 2y2 + (7y + 2) + -1(y2 + 1) = 0

Reorder the terms:
3 + -6y + 2y2 + (2 + 7y) + -1(y2 + 1) = 0

Remove parenthesis around (2 + 7y)
3 + -6y + 2y2 + 2 + 7y + -1(y2 + 1) = 0

Reorder the terms:
3 + -6y + 2y2 + 2 + 7y + -1(1 + y2) = 0
3 + -6y + 2y2 + 2 + 7y + (1 * -1 + y2 * -1) = 0
3 + -6y + 2y2 + 2 + 7y + (-1 + -1y2) = 0

Reorder the terms:
3 + 2 + -1 + -6y + 7y + 2y2 + -1y2 = 0

Combine like terms: 3 + 2 = 5
5 + -1 + -6y + 7y + 2y2 + -1y2 = 0

Combine like terms: 5 + -1 = 4
4 + -6y + 7y + 2y2 + -1y2 = 0

Combine like terms: -6y + 7y = 1y
4 + 1y + 2y2 + -1y2 = 0

Combine like terms: 2y2 + -1y2 = 1y2
4 + 1y + 1y2 = 0

Solving
4 + 1y + 1y2 = 0

Solving for variable 'y'.

Begin completing the square.

Move the constant term to the right:

Add '-4' to each side of the equation.
4 + 1y + -4 + y2 = 0 + -4

Reorder the terms:
4 + -4 + 1y + y2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 1y + y2 = 0 + -4
1y + y2 = 0 + -4

Combine like terms: 0 + -4 = -4
1y + y2 = -4

The y term is 1y.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
y + 0.25 + y2 = -4 + 0.25

Reorder the terms:
0.25 + y + y2 = -4 + 0.25

Combine like terms: -4 + 0.25 = -3.75
0.25 + y + y2 = -3.75

Factor a perfect square on the left side:
(y + 0.5)(y + 0.5) = -3.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.