(y^3+y)+(3-6y)-(4-5y)=-2

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Solution for (y^3+y)+(3-6y)-(4-5y)=-2 equation:


Simplifying
(y3 + y) + (3 + -6y) + -1(4 + -5y) = -2

Reorder the terms:
(y + y3) + (3 + -6y) + -1(4 + -5y) = -2

Remove parenthesis around (y + y3)
y + y3 + (3 + -6y) + -1(4 + -5y) = -2

Remove parenthesis around (3 + -6y)
y + y3 + 3 + -6y + -1(4 + -5y) = -2
y + y3 + 3 + -6y + (4 * -1 + -5y * -1) = -2
y + y3 + 3 + -6y + (-4 + 5y) = -2

Reorder the terms:
3 + -4 + y + -6y + 5y + y3 = -2

Combine like terms: 3 + -4 = -1
-1 + y + -6y + 5y + y3 = -2

Combine like terms: y + -6y = -5y
-1 + -5y + 5y + y3 = -2

Combine like terms: -5y + 5y = 0
-1 + 0 + y3 = -2
-1 + y3 = -2

Solving
-1 + y3 = -2

Solving for variable 'y'.

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

Add '1' to each side of the equation.
-1 + 1 + y3 = -2 + 1

Combine like terms: -1 + 1 = 0
0 + y3 = -2 + 1
y3 = -2 + 1

Combine like terms: -2 + 1 = -1
y3 = -1

Simplifying
y3 = -1

Reorder the terms:
1 + y3 = -1 + 1

Combine like terms: -1 + 1 = 0
1 + y3 = 0

The solution to this equation could not be determined.

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