(7y^2+3y^2+2y)-(18y^5-5y^3+y)=

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Solution for (7y^2+3y^2+2y)-(18y^5-5y^3+y)= equation: 


Simplifying
(7y2 + 3y2 + 2y) + -1(18y5 + -5y3 + y) = 0

Reorder the terms:
(2y + 7y2 + 3y2) + -1(18y5 + -5y3 + y) = 0

Combine like terms: 7y2 + 3y2 = 10y2
(2y + 10y2) + -1(18y5 + -5y3 + y) = 0

Remove parenthesis around (2y + 10y2)
2y + 10y2 + -1(18y5 + -5y3 + y) = 0

Reorder the terms:
2y + 10y2 + -1(y + -5y3 + 18y5) = 0
2y + 10y2 + (y * -1 + -5y3 * -1 + 18y5 * -1) = 0
2y + 10y2 + (-1y + 5y3 + -18y5) = 0

Reorder the terms:
2y + -1y + 10y2 + 5y3 + -18y5 = 0

Combine like terms: 2y + -1y = 1y
1y + 10y2 + 5y3 + -18y5 = 0

Solving
1y + 10y2 + 5y3 + -18y5 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(1 + 10y + 5y2 + -18y4) = 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 + 10y + 5y2 + -18y4)' equal to zero and attempt to solve:

Simplifying
1 + 10y + 5y2 + -18y4 = 0

Solving
1 + 10y + 5y2 + -18y4 = 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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