(-8y^2-4y)+(3y^2+y-3)=

Solution for (-8y^2-4y)+(3y^2+y-3)= equation:

Simplifying
(-8y2 + -4y) + (3y2 + y + -3) = 0

Reorder the terms:
(-4y + -8y2) + (3y2 + y + -3) = 0

Remove parenthesis around (-4y + -8y2)
-4y + -8y2 + (3y2 + y + -3) = 0

Reorder the terms:
-4y + -8y2 + (-3 + y + 3y2) = 0

Remove parenthesis around (-3 + y + 3y2)
-4y + -8y2 + -3 + y + 3y2 = 0

Reorder the terms:
-3 + -4y + y + -8y2 + 3y2 = 0

Combine like terms: -4y + y = -3y
-3 + -3y + -8y2 + 3y2 = 0

Combine like terms: -8y2 + 3y2 = -5y2
-3 + -3y + -5y2 = 0

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

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(3 + 3y + 5y2) = 0

Ignore the factor -1.
Subproblem 1
Set the factor '(3 + 3y + 5y2)' equal to zero and attempt to solve:

Simplifying
3 + 3y + 5y2 = 0

Solving
3 + 3y + 5y2 = 0

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

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

Move the constant term to the right:

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

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

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

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

The y term is 0.6y.  Take half its coefficient (0.3).
Square it (0.09) and add it to both sides.

Add '0.09' to each side of the equation.
0.6y + 0.09 + y2 = -0.6 + 0.09

Reorder the terms:
0.09 + 0.6y + y2 = -0.6 + 0.09

Combine like terms: -0.6 + 0.09 = -0.51
0.09 + 0.6y + y2 = -0.51

Factor a perfect square on the left side:
(y + 0.3)(y + 0.3) = -0.51

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.