4(y-4)(y+3)5(y+2)(y+3)=9(y+2)(y-4)

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Solution for 4(y-4)(y+3)5(y+2)(y+3)=9(y+2)(y-4) equation: 


Simplifying
4(y + -4)(y + 3) * 5(y + 2)(y + 3) = 9(y + 2)(y + -4)

Reorder the terms:
4(-4 + y)(y + 3) * 5(y + 2)(y + 3) = 9(y + 2)(y + -4)

Reorder the terms:
4(-4 + y)(3 + y) * 5(y + 2)(y + 3) = 9(y + 2)(y + -4)

Reorder the terms:
4(-4 + y)(3 + y) * 5(2 + y)(y + 3) = 9(y + 2)(y + -4)

Reorder the terms:
4(-4 + y)(3 + y) * 5(2 + y)(3 + y) = 9(y + 2)(y + -4)

Reorder the terms for easier multiplication:
4 * 5(-4 + y)(3 + y)(2 + y)(3 + y) = 9(y + 2)(y + -4)

Multiply 4 * 5
20(-4 + y)(3 + y)(2 + y)(3 + y) = 9(y + 2)(y + -4)

Multiply (-4 + y) * (3 + y)
20(-4(3 + y) + y(3 + y))(2 + y)(3 + y) = 9(y + 2)(y + -4)
20((3 * -4 + y * -4) + y(3 + y))(2 + y)(3 + y) = 9(y + 2)(y + -4)
20((-12 + -4y) + y(3 + y))(2 + y)(3 + y) = 9(y + 2)(y + -4)
20(-12 + -4y + (3 * y + y * y))(2 + y)(3 + y) = 9(y + 2)(y + -4)
20(-12 + -4y + (3y + y2))(2 + y)(3 + y) = 9(y + 2)(y + -4)

Combine like terms: -4y + 3y = -1y
20(-12 + -1y + y2)(2 + y)(3 + y) = 9(y + 2)(y + -4)

Multiply (-12 + -1y + y2) * (2 + y)
20(-12(2 + y) + -1y * (2 + y) + y2(2 + y))(3 + y) = 9(y + 2)(y + -4)
20((2 * -12 + y * -12) + -1y * (2 + y) + y2(2 + y))(3 + y) = 9(y + 2)(y + -4)
20((-24 + -12y) + -1y * (2 + y) + y2(2 + y))(3 + y) = 9(y + 2)(y + -4)
20(-24 + -12y + (2 * -1y + y * -1y) + y2(2 + y))(3 + y) = 9(y + 2)(y + -4)
20(-24 + -12y + (-2y + -1y2) + y2(2 + y))(3 + y) = 9(y + 2)(y + -4)
20(-24 + -12y + -2y + -1y2 + (2 * y2 + y * y2))(3 + y) = 9(y + 2)(y + -4)
20(-24 + -12y + -2y + -1y2 + (2y2 + y3))(3 + y) = 9(y + 2)(y + -4)

Combine like terms: -12y + -2y = -14y
20(-24 + -14y + -1y2 + 2y2 + y3)(3 + y) = 9(y + 2)(y + -4)

Combine like terms: -1y2 + 2y2 = 1y2
20(-24 + -14y + 1y2 + y3)(3 + y) = 9(y + 2)(y + -4)

Multiply (-24 + -14y + 1y2 + y3) * (3 + y)
20(-24(3 + y) + -14y * (3 + y) + 1y2 * (3 + y) + y3(3 + y)) = 9(y + 2)(y + -4)
20((3 * -24 + y * -24) + -14y * (3 + y) + 1y2 * (3 + y) + y3(3 + y)) = 9(y + 2)(y + -4)
20((-72 + -24y) + -14y * (3 + y) + 1y2 * (3 + y) + y3(3 + y)) = 9(y + 2)(y + -4)
20(-72 + -24y + (3 * -14y + y * -14y) + 1y2 * (3 + y) + y3(3 + y)) = 9(y + 2)(y + -4)
20(-72 + -24y + (-42y + -14y2) + 1y2 * (3 + y) + y3(3 + y)) = 9(y + 2)(y + -4)
20(-72 + -24y + -42y + -14y2 + (3 * 1y2 + y * 1y2) + y3(3 + y)) = 9(y + 2)(y + -4)
20(-72 + -24y + -42y + -14y2 + (3y2 + 1y3) + y3(3 + y)) = 9(y + 2)(y + -4)
20(-72 + -24y + -42y + -14y2 + 3y2 + 1y3 + (3 * y3 + y * y3)) = 9(y + 2)(y + -4)
20(-72 + -24y + -42y + -14y2 + 3y2 + 1y3 + (3y3 + y4)) = 9(y + 2)(y + -4)

Combine like terms: -24y + -42y = -66y
20(-72 + -66y + -14y2 + 3y2 + 1y3 + 3y3 + y4) = 9(y + 2)(y + -4)

Combine like terms: -14y2 + 3y2 = -11y2
20(-72 + -66y + -11y2 + 1y3 + 3y3 + y4) = 9(y + 2)(y + -4)

Combine like terms: 1y3 + 3y3 = 4y3
20(-72 + -66y + -11y2 + 4y3 + y4) = 9(y + 2)(y + -4)
(-72 * 20 + -66y * 20 + -11y2 * 20 + 4y3 * 20 + y4 * 20) = 9(y + 2)(y + -4)
(-1440 + -1320y + -220y2 + 80y3 + 20y4) = 9(y + 2)(y + -4)

Reorder the terms:
-1440 + -1320y + -220y2 + 80y3 + 20y4 = 9(2 + y)(y + -4)

Reorder the terms:
-1440 + -1320y + -220y2 + 80y3 + 20y4 = 9(2 + y)(-4 + y)

Multiply (2 + y) * (-4 + y)
-1440 + -1320y + -220y2 + 80y3 + 20y4 = 9(2(-4 + y) + y(-4 + y))
-1440 + -1320y + -220y2 + 80y3 + 20y4 = 9((-4 * 2 + y * 2) + y(-4 + y))
-1440 + -1320y + -220y2 + 80y3 + 20y4 = 9((-8 + 2y) + y(-4 + y))
-1440 + -1320y + -220y2 + 80y3 + 20y4 = 9(-8 + 2y + (-4 * y + y * y))
-1440 + -1320y + -220y2 + 80y3 + 20y4 = 9(-8 + 2y + (-4y + y2))

Combine like terms: 2y + -4y = -2y
-1440 + -1320y + -220y2 + 80y3 + 20y4 = 9(-8 + -2y + y2)
-1440 + -1320y + -220y2 + 80y3 + 20y4 = (-8 * 9 + -2y * 9 + y2 * 9)
-1440 + -1320y + -220y2 + 80y3 + 20y4 = (-72 + -18y + 9y2)

Solving
-1440 + -1320y + -220y2 + 80y3 + 20y4 = -72 + -18y + 9y2

Solving for variable 'y'.

Reorder the terms:
-1440 + 72 + -1320y + 18y + -220y2 + -9y2 + 80y3 + 20y4 = -72 + -18y + 9y2 + 72 + 18y + -9y2

Combine like terms: -1440 + 72 = -1368
-1368 + -1320y + 18y + -220y2 + -9y2 + 80y3 + 20y4 = -72 + -18y + 9y2 + 72 + 18y + -9y2

Combine like terms: -1320y + 18y = -1302y
-1368 + -1302y + -220y2 + -9y2 + 80y3 + 20y4 = -72 + -18y + 9y2 + 72 + 18y + -9y2

Combine like terms: -220y2 + -9y2 = -229y2
-1368 + -1302y + -229y2 + 80y3 + 20y4 = -72 + -18y + 9y2 + 72 + 18y + -9y2

Reorder the terms:
-1368 + -1302y + -229y2 + 80y3 + 20y4 = -72 + 72 + -18y + 18y + 9y2 + -9y2

Combine like terms: -72 + 72 = 0
-1368 + -1302y + -229y2 + 80y3 + 20y4 = 0 + -18y + 18y + 9y2 + -9y2
-1368 + -1302y + -229y2 + 80y3 + 20y4 = -18y + 18y + 9y2 + -9y2

Combine like terms: -18y + 18y = 0
-1368 + -1302y + -229y2 + 80y3 + 20y4 = 0 + 9y2 + -9y2
-1368 + -1302y + -229y2 + 80y3 + 20y4 = 9y2 + -9y2

Combine like terms: 9y2 + -9y2 = 0
-1368 + -1302y + -229y2 + 80y3 + 20y4 = 0

The solution to this equation could not be determined.

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