(Y^6-y^5)-(y^3-y)=

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Solution for (Y^6-y^5)-(y^3-y)= equation:


Simplifying
(Y6 + -1y5) + -1(y3 + -1y) = 0

Remove parenthesis around (Y6 + -1y5)
Y6 + -1y5 + -1(y3 + -1y) = 0

Reorder the terms:
Y6 + -1y5 + -1(-1y + y3) = 0
Y6 + -1y5 + (-1y * -1 + y3 * -1) = 0
Y6 + -1y5 + (1y + -1y3) = 0

Reorder the terms:
Y6 + 1y + -1y3 + -1y5 = 0

Solving
Y6 + 1y + -1y3 + -1y5 = 0

Solving for variable 'Y'.

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

Add '-1y' to each side of the equation.
Y6 + 1y + -1y3 + -1y + -1y5 = 0 + -1y

Reorder the terms:
Y6 + 1y + -1y + -1y3 + -1y5 = 0 + -1y

Combine like terms: 1y + -1y = 0
Y6 + 0 + -1y3 + -1y5 = 0 + -1y
Y6 + -1y3 + -1y5 = 0 + -1y
Remove the zero:
Y6 + -1y3 + -1y5 = -1y

Add 'y3' to each side of the equation.
Y6 + -1y3 + y3 + -1y5 = -1y + y3

Combine like terms: -1y3 + y3 = 0
Y6 + 0 + -1y5 = -1y + y3
Y6 + -1y5 = -1y + y3

Add 'y5' to each side of the equation.
Y6 + -1y5 + y5 = -1y + y3 + y5

Combine like terms: -1y5 + y5 = 0
Y6 + 0 = -1y + y3 + y5
Y6 = -1y + y3 + y5

Simplifying
Y6 = -1y + y3 + y5

Reorder the terms:
Y6 + y + -1y3 + -1y5 = -1y + y + y3 + -1y3 + y5 + -1y5

Combine like terms: -1y + y = 0
Y6 + y + -1y3 + -1y5 = 0 + y3 + -1y3 + y5 + -1y5
Y6 + y + -1y3 + -1y5 = y3 + -1y3 + y5 + -1y5

Combine like terms: y3 + -1y3 = 0
Y6 + y + -1y3 + -1y5 = 0 + y5 + -1y5
Y6 + y + -1y3 + -1y5 = y5 + -1y5

Combine like terms: y5 + -1y5 = 0
Y6 + y + -1y3 + -1y5 = 0

The solution to this equation could not be determined.

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