(y^2+y-6)(y^2-6y+9)-2(y^2-9)=0

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Solution for (y^2+y-6)(y^2-6y+9)-2(y^2-9)=0 equation: 


Simplifying
(y2 + y + -6)(y2 + -6y + 9) + -2(y2 + -9) = 0

Reorder the terms:
(-6 + y + y2)(y2 + -6y + 9) + -2(y2 + -9) = 0

Reorder the terms:
(-6 + y + y2)(9 + -6y + y2) + -2(y2 + -9) = 0

Multiply (-6 + y + y2) * (9 + -6y + y2)
(-6(9 + -6y + y2) + y(9 + -6y + y2) + y2(9 + -6y + y2)) + -2(y2 + -9) = 0
((9 * -6 + -6y * -6 + y2 * -6) + y(9 + -6y + y2) + y2(9 + -6y + y2)) + -2(y2 + -9) = 0
((-54 + 36y + -6y2) + y(9 + -6y + y2) + y2(9 + -6y + y2)) + -2(y2 + -9) = 0
(-54 + 36y + -6y2 + (9 * y + -6y * y + y2 * y) + y2(9 + -6y + y2)) + -2(y2 + -9) = 0
(-54 + 36y + -6y2 + (9y + -6y2 + y3) + y2(9 + -6y + y2)) + -2(y2 + -9) = 0
(-54 + 36y + -6y2 + 9y + -6y2 + y3 + (9 * y2 + -6y * y2 + y2 * y2)) + -2(y2 + -9) = 0
(-54 + 36y + -6y2 + 9y + -6y2 + y3 + (9y2 + -6y3 + y4)) + -2(y2 + -9) = 0

Reorder the terms:
(-54 + 36y + 9y + -6y2 + -6y2 + 9y2 + y3 + -6y3 + y4) + -2(y2 + -9) = 0

Combine like terms: 36y + 9y = 45y
(-54 + 45y + -6y2 + -6y2 + 9y2 + y3 + -6y3 + y4) + -2(y2 + -9) = 0

Combine like terms: -6y2 + -6y2 = -12y2
(-54 + 45y + -12y2 + 9y2 + y3 + -6y3 + y4) + -2(y2 + -9) = 0

Combine like terms: -12y2 + 9y2 = -3y2
(-54 + 45y + -3y2 + y3 + -6y3 + y4) + -2(y2 + -9) = 0

Combine like terms: y3 + -6y3 = -5y3
(-54 + 45y + -3y2 + -5y3 + y4) + -2(y2 + -9) = 0

Reorder the terms:
-54 + 45y + -3y2 + -5y3 + y4 + -2(-9 + y2) = 0
-54 + 45y + -3y2 + -5y3 + y4 + (-9 * -2 + y2 * -2) = 0
-54 + 45y + -3y2 + -5y3 + y4 + (18 + -2y2) = 0

Reorder the terms:
-54 + 18 + 45y + -3y2 + -2y2 + -5y3 + y4 = 0

Combine like terms: -54 + 18 = -36
-36 + 45y + -3y2 + -2y2 + -5y3 + y4 = 0

Combine like terms: -3y2 + -2y2 = -5y2
-36 + 45y + -5y2 + -5y3 + y4 = 0

Solving
-36 + 45y + -5y2 + -5y3 + y4 = 0

Solving for variable 'y'.

The solution to this equation could not be determined.

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