P(y)=2y^3+3y^2-5(P(-1))

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Solution for P(y)=2y^3+3y^2-5(P(-1)) equation: 


Simplifying
P(y) = 2y3 + 3y2 + -5(P(-1))

Multiply P * y
yP = 2y3 + 3y2 + -5(P(-1))

Reorder the terms for easier multiplication:
yP = 2y3 + 3y2 + -5(-1P)

Remove parenthesis around (-1P)
yP = 2y3 + 3y2 + -5 * -1P

Multiply -5 * -1
yP = 2y3 + 3y2 + 5P

Reorder the terms:
yP = 5P + 3y2 + 2y3

Solving
yP = 5P + 3y2 + 2y3

Solving for variable 'y'.

Reorder the terms:
-5P + yP + -3y2 + -2y3 = 5P + 3y2 + 2y3 + -5P + -3y2 + -2y3

Reorder the terms:
-5P + yP + -3y2 + -2y3 = 5P + -5P + 3y2 + -3y2 + 2y3 + -2y3

Combine like terms: 5P + -5P = 0
-5P + yP + -3y2 + -2y3 = 0 + 3y2 + -3y2 + 2y3 + -2y3
-5P + yP + -3y2 + -2y3 = 3y2 + -3y2 + 2y3 + -2y3

Combine like terms: 3y2 + -3y2 = 0
-5P + yP + -3y2 + -2y3 = 0 + 2y3 + -2y3
-5P + yP + -3y2 + -2y3 = 2y3 + -2y3

Combine like terms: 2y3 + -2y3 = 0
-5P + yP + -3y2 + -2y3 = 0

The solution to this equation could not be determined.

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