(6y^5-4y^4-6)+(4y^5+7y^4+6)=

Solution for (6y^5-4y^4-6)+(4y^5+7y^4+6)= equation:

Simplifying
(6y5 + -4y4 + -6) + (4y5 + 7y4 + 6) = 0

Reorder the terms:
(-6 + -4y4 + 6y5) + (4y5 + 7y4 + 6) = 0

Remove parenthesis around (-6 + -4y4 + 6y5)
-6 + -4y4 + 6y5 + (4y5 + 7y4 + 6) = 0

Reorder the terms:
-6 + -4y4 + 6y5 + (6 + 7y4 + 4y5) = 0

Remove parenthesis around (6 + 7y4 + 4y5)
-6 + -4y4 + 6y5 + 6 + 7y4 + 4y5 = 0

Reorder the terms:
-6 + 6 + -4y4 + 7y4 + 6y5 + 4y5 = 0

Combine like terms: -6 + 6 = 0
0 + -4y4 + 7y4 + 6y5 + 4y5 = 0
-4y4 + 7y4 + 6y5 + 4y5 = 0

Combine like terms: -4y4 + 7y4 = 3y4
3y4 + 6y5 + 4y5 = 0

Combine like terms: 6y5 + 4y5 = 10y5
3y4 + 10y5 = 0

Solving
3y4 + 10y5 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y4'.
y4(3 + 10y) = 0

Subproblem 1
Set the factor 'y4' equal to zero and attempt to solve:

Simplifying
y4 = 0

Solving
y4 = 0

Move all terms containing y to the left, all other terms to the right.

Simplifying
y4 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(3 + 10y)' equal to zero and attempt to solve:

Simplifying
3 + 10y = 0

Solving
3 + 10y = 0

Move all terms containing y to the left, all other terms to the right.

Add '-3' to each side of the equation.
3 + -3 + 10y = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 10y = 0 + -3
10y = 0 + -3

Combine like terms: 0 + -3 = -3
10y = -3

Divide each side by '10'.
y = -0.3

Simplifying
y = -0.3
Solution
y = {-0.3}