(3y^2-y-4)+(2y^2-6y+7)=

Solution for (3y^2-y-4)+(2y^2-6y+7)= equation:

Simplifying
(3y2 + -1y + -4) + (2y2 + -6y + 7) = 0

Reorder the terms:
(-4 + -1y + 3y2) + (2y2 + -6y + 7) = 0

Remove parenthesis around (-4 + -1y + 3y2)
-4 + -1y + 3y2 + (2y2 + -6y + 7) = 0

Reorder the terms:
-4 + -1y + 3y2 + (7 + -6y + 2y2) = 0

Remove parenthesis around (7 + -6y + 2y2)
-4 + -1y + 3y2 + 7 + -6y + 2y2 = 0

Reorder the terms:
-4 + 7 + -1y + -6y + 3y2 + 2y2 = 0

Combine like terms: -4 + 7 = 3
3 + -1y + -6y + 3y2 + 2y2 = 0

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

Combine like terms: 3y2 + 2y2 = 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.