=(3y^3+9y^2-11y+8)-(-4y^2+10y-6)

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Solution for =(3y^3+9y^2-11y+8)-(-4y^2+10y-6) equation:


Simplifying
0 = (3y3 + 9y2 + -11y + 8) + -1(-4y2 + 10y + -6)

Reorder the terms:
0 = (8 + -11y + 9y2 + 3y3) + -1(-4y2 + 10y + -6)

Remove parenthesis around (8 + -11y + 9y2 + 3y3)
0 = 8 + -11y + 9y2 + 3y3 + -1(-4y2 + 10y + -6)

Reorder the terms:
0 = 8 + -11y + 9y2 + 3y3 + -1(-6 + 10y + -4y2)
0 = 8 + -11y + 9y2 + 3y3 + (-6 * -1 + 10y * -1 + -4y2 * -1)
0 = 8 + -11y + 9y2 + 3y3 + (6 + -10y + 4y2)

Reorder the terms:
0 = 8 + 6 + -11y + -10y + 9y2 + 4y2 + 3y3

Combine like terms: 8 + 6 = 14
0 = 14 + -11y + -10y + 9y2 + 4y2 + 3y3

Combine like terms: -11y + -10y = -21y
0 = 14 + -21y + 9y2 + 4y2 + 3y3

Combine like terms: 9y2 + 4y2 = 13y2
0 = 14 + -21y + 13y2 + 3y3

Solving
0 = 14 + -21y + 13y2 + 3y3

Solving for variable 'y'.

Combine like terms: 0 + -14 = -14
-14 + 21y + -13y2 + -3y3 = 14 + -21y + 13y2 + 3y3 + -14 + 21y + -13y2 + -3y3

Reorder the terms:
-14 + 21y + -13y2 + -3y3 = 14 + -14 + -21y + 21y + 13y2 + -13y2 + 3y3 + -3y3

Combine like terms: 14 + -14 = 0
-14 + 21y + -13y2 + -3y3 = 0 + -21y + 21y + 13y2 + -13y2 + 3y3 + -3y3
-14 + 21y + -13y2 + -3y3 = -21y + 21y + 13y2 + -13y2 + 3y3 + -3y3

Combine like terms: -21y + 21y = 0
-14 + 21y + -13y2 + -3y3 = 0 + 13y2 + -13y2 + 3y3 + -3y3
-14 + 21y + -13y2 + -3y3 = 13y2 + -13y2 + 3y3 + -3y3

Combine like terms: 13y2 + -13y2 = 0
-14 + 21y + -13y2 + -3y3 = 0 + 3y3 + -3y3
-14 + 21y + -13y2 + -3y3 = 3y3 + -3y3

Combine like terms: 3y3 + -3y3 = 0
-14 + 21y + -13y2 + -3y3 = 0

The solution to this equation could not be determined.

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