(4y^5-2y^4-4)+(2y^5+8y^4+4)=

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Solution for (4y^5-2y^4-4)+(2y^5+8y^4+4)= equation: 


Simplifying
(4y5 + -2y4 + -4) + (2y5 + 8y4 + 4) = 0

Reorder the terms:
(-4 + -2y4 + 4y5) + (2y5 + 8y4 + 4) = 0

Remove parenthesis around (-4 + -2y4 + 4y5)
-4 + -2y4 + 4y5 + (2y5 + 8y4 + 4) = 0

Reorder the terms:
-4 + -2y4 + 4y5 + (4 + 8y4 + 2y5) = 0

Remove parenthesis around (4 + 8y4 + 2y5)
-4 + -2y4 + 4y5 + 4 + 8y4 + 2y5 = 0

Reorder the terms:
-4 + 4 + -2y4 + 8y4 + 4y5 + 2y5 = 0

Combine like terms: -4 + 4 = 0
0 + -2y4 + 8y4 + 4y5 + 2y5 = 0
-2y4 + 8y4 + 4y5 + 2y5 = 0

Combine like terms: -2y4 + 8y4 = 6y4
6y4 + 4y5 + 2y5 = 0

Combine like terms: 4y5 + 2y5 = 6y5
6y4 + 6y5 = 0

Solving
6y4 + 6y5 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '6y4'.
6y4(1 + y) = 0

Ignore the factor 6.

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 '(1 + y)' equal to zero and attempt to solve:

Simplifying
1 + y = 0

Solving
1 + y = 0

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

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

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

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

Simplifying
y = -1
Solution
y = {-1}

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