(Y^3+1)+((y^2+1)+(3y-7))=0

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Solution for (Y^3+1)+((y^2+1)+(3y-7))=0 equation: 


Simplifying
(Y3 + 1) + ((y2 + 1) + (3y + -7)) = 0

Reorder the terms:
(1 + Y3) + ((y2 + 1) + (3y + -7)) = 0

Remove parenthesis around (1 + Y3)
1 + Y3 + ((y2 + 1) + (3y + -7)) = 0

Reorder the terms:
1 + Y3 + ((1 + y2) + (3y + -7)) = 0

Remove parenthesis around (1 + y2)
1 + Y3 + (1 + y2 + (3y + -7)) = 0

Reorder the terms:
1 + Y3 + (1 + y2 + (-7 + 3y)) = 0

Remove parenthesis around (-7 + 3y)
1 + Y3 + (1 + y2 + -7 + 3y) = 0

Reorder the terms:
1 + Y3 + (1 + -7 + 3y + y2) = 0

Combine like terms: 1 + -7 = -6
1 + Y3 + (-6 + 3y + y2) = 0

Remove parenthesis around (-6 + 3y + y2)
1 + Y3 + -6 + 3y + y2 = 0

Reorder the terms:
1 + -6 + Y3 + 3y + y2 = 0

Combine like terms: 1 + -6 = -5
-5 + Y3 + 3y + y2 = 0

Solving
-5 + Y3 + 3y + y2 = 0

Solving for variable 'Y'.

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

Add '5' to each side of the equation.
-5 + Y3 + 3y + 5 + y2 = 0 + 5

Reorder the terms:
-5 + 5 + Y3 + 3y + y2 = 0 + 5

Combine like terms: -5 + 5 = 0
0 + Y3 + 3y + y2 = 0 + 5
Y3 + 3y + y2 = 0 + 5

Combine like terms: 0 + 5 = 5
Y3 + 3y + y2 = 5

Add '-3y' to each side of the equation.
Y3 + 3y + -3y + y2 = 5 + -3y

Combine like terms: 3y + -3y = 0
Y3 + 0 + y2 = 5 + -3y
Y3 + y2 = 5 + -3y

Add '-1y2' to each side of the equation.
Y3 + y2 + -1y2 = 5 + -3y + -1y2

Combine like terms: y2 + -1y2 = 0
Y3 + 0 = 5 + -3y + -1y2
Y3 = 5 + -3y + -1y2

Simplifying
Y3 = 5 + -3y + -1y2

Reorder the terms:
-5 + Y3 + 3y + y2 = 5 + -3y + -1y2 + -5 + 3y + y2

Reorder the terms:
-5 + Y3 + 3y + y2 = 5 + -5 + -3y + 3y + -1y2 + y2

Combine like terms: 5 + -5 = 0
-5 + Y3 + 3y + y2 = 0 + -3y + 3y + -1y2 + y2
-5 + Y3 + 3y + y2 = -3y + 3y + -1y2 + y2

Combine like terms: -3y + 3y = 0
-5 + Y3 + 3y + y2 = 0 + -1y2 + y2
-5 + Y3 + 3y + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
-5 + Y3 + 3y + y2 = 0

The solution to this equation could not be determined.

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