(-6y^2+4y-5)+(y^2+3y+2)=

Solution for (-6y^2+4y-5)+(y^2+3y+2)= equation:

Simplifying
(-6y2 + 4y + -5) + (y2 + 3y + 2) = 0

Reorder the terms:
(-5 + 4y + -6y2) + (y2 + 3y + 2) = 0

Remove parenthesis around (-5 + 4y + -6y2)
-5 + 4y + -6y2 + (y2 + 3y + 2) = 0

Reorder the terms:
-5 + 4y + -6y2 + (2 + 3y + y2) = 0

Remove parenthesis around (2 + 3y + y2)
-5 + 4y + -6y2 + 2 + 3y + y2 = 0

Reorder the terms:
-5 + 2 + 4y + 3y + -6y2 + y2 = 0

Combine like terms: -5 + 2 = -3
-3 + 4y + 3y + -6y2 + y2 = 0

Combine like terms: 4y + 3y = 7y
-3 + 7y + -6y2 + y2 = 0

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

Solving
-3 + 7y + -5y2 = 0

Solving for variable 'y'.

Begin completing the square.  Divide all terms by
-5 the coefficient of the squared term: 

Divide each side by '-5'.
0.6 + -1.4y + y2 = 0

Move the constant term to the right:

Add '-0.6' to each side of the equation.
0.6 + -1.4y + -0.6 + y2 = 0 + -0.6

Reorder the terms:
0.6 + -0.6 + -1.4y + y2 = 0 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + -1.4y + y2 = 0 + -0.6
-1.4y + y2 = 0 + -0.6

Combine like terms: 0 + -0.6 = -0.6
-1.4y + y2 = -0.6

The y term is -1.4y.  Take half its coefficient (-0.7).
Square it (0.49) and add it to both sides.

Add '0.49' to each side of the equation.
-1.4y + 0.49 + y2 = -0.6 + 0.49

Reorder the terms:
0.49 + -1.4y + y2 = -0.6 + 0.49

Combine like terms: -0.6 + 0.49 = -0.11
0.49 + -1.4y + y2 = -0.11

Factor a perfect square on the left side:
(y + -0.7)(y + -0.7) = -0.11

Can't calculate square root of the right side.

The solution to this equation could not be determined.