(1-2y)*(((1-2y)*(1-2y))+y^2)=5

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


Simplifying
(1 + -2y)(((1 + -2y)(1 + -2y)) + y2) = 5

Multiply (1 + -2y) * (1 + -2y)
(1 + -2y)(((1(1 + -2y) + -2y * (1 + -2y))) + y2) = 5
(1 + -2y)((((1 * 1 + -2y * 1) + -2y * (1 + -2y))) + y2) = 5
(1 + -2y)((((1 + -2y) + -2y * (1 + -2y))) + y2) = 5
(1 + -2y)(((1 + -2y + (1 * -2y + -2y * -2y))) + y2) = 5
(1 + -2y)(((1 + -2y + (-2y + 4y2))) + y2) = 5

Combine like terms: -2y + -2y = -4y
(1 + -2y)(((1 + -4y + 4y2)) + y2) = 5
(1 + -2y)((1 + -4y + 4y2) + y2) = 5

Remove parenthesis around (1 + -4y + 4y2)
(1 + -2y)(1 + -4y + 4y2 + y2) = 5

Combine like terms: 4y2 + y2 = 5y2
(1 + -2y)(1 + -4y + 5y2) = 5

Multiply (1 + -2y) * (1 + -4y + 5y2)
(1(1 + -4y + 5y2) + -2y * (1 + -4y + 5y2)) = 5
((1 * 1 + -4y * 1 + 5y2 * 1) + -2y * (1 + -4y + 5y2)) = 5
((1 + -4y + 5y2) + -2y * (1 + -4y + 5y2)) = 5
(1 + -4y + 5y2 + (1 * -2y + -4y * -2y + 5y2 * -2y)) = 5
(1 + -4y + 5y2 + (-2y + 8y2 + -10y3)) = 5

Reorder the terms:
(1 + -4y + -2y + 5y2 + 8y2 + -10y3) = 5

Combine like terms: -4y + -2y = -6y
(1 + -6y + 5y2 + 8y2 + -10y3) = 5

Combine like terms: 5y2 + 8y2 = 13y2
(1 + -6y + 13y2 + -10y3) = 5

Solving
1 + -6y + 13y2 + -10y3 = 5

Solving for variable 'y'.

Reorder the terms:
1 + -5 + -6y + 13y2 + -10y3 = 5 + -5

Combine like terms: 1 + -5 = -4
-4 + -6y + 13y2 + -10y3 = 5 + -5

Combine like terms: 5 + -5 = 0
-4 + -6y + 13y2 + -10y3 = 0

The solution to this equation could not be determined.

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