(y^7-y^3)-(y^4-y)=

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


Simplifying
(y7 + -1y3) + -1(y4 + -1y) = 0

Reorder the terms:
(-1y3 + y7) + -1(y4 + -1y) = 0

Remove parenthesis around (-1y3 + y7)
-1y3 + y7 + -1(y4 + -1y) = 0

Reorder the terms:
-1y3 + y7 + -1(-1y + y4) = 0
-1y3 + y7 + (-1y * -1 + y4 * -1) = 0
-1y3 + y7 + (1y + -1y4) = 0

Reorder the terms:
1y + -1y3 + -1y4 + y7 = 0

Solving
1y + -1y3 + -1y4 + y7 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(1 + -1y2 + -1y3 + y6) = 0


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

Simplifying
y = 0

Solving
y = 0

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

Simplifying
y = 0

Subproblem 2
Set the factor '(1 + -1y2 + -1y3 + y6)' equal to zero and attempt to solve:

Simplifying
1 + -1y2 + -1y3 + y6 = 0

Solving
1 + -1y2 + -1y3 + y6 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
y = {0}

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