(y+3)(2y-5)(2y+7)(y-3)=91

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Solution for (y+3)(2y-5)(2y+7)(y-3)=91 equation: 


Simplifying
(y + 3)(2y + -5)(2y + 7)(y + -3) = 91

Reorder the terms:
(3 + y)(2y + -5)(2y + 7)(y + -3) = 91

Reorder the terms:
(3 + y)(-5 + 2y)(2y + 7)(y + -3) = 91

Reorder the terms:
(3 + y)(-5 + 2y)(7 + 2y)(y + -3) = 91

Reorder the terms:
(3 + y)(-5 + 2y)(7 + 2y)(-3 + y) = 91

Multiply (3 + y) * (-5 + 2y)
(3(-5 + 2y) + y(-5 + 2y))(7 + 2y)(-3 + y) = 91
((-5 * 3 + 2y * 3) + y(-5 + 2y))(7 + 2y)(-3 + y) = 91
((-15 + 6y) + y(-5 + 2y))(7 + 2y)(-3 + y) = 91
(-15 + 6y + (-5 * y + 2y * y))(7 + 2y)(-3 + y) = 91
(-15 + 6y + (-5y + 2y2))(7 + 2y)(-3 + y) = 91

Combine like terms: 6y + -5y = 1y
(-15 + 1y + 2y2)(7 + 2y)(-3 + y) = 91

Multiply (-15 + 1y + 2y2) * (7 + 2y)
(-15(7 + 2y) + 1y * (7 + 2y) + 2y2 * (7 + 2y))(-3 + y) = 91
((7 * -15 + 2y * -15) + 1y * (7 + 2y) + 2y2 * (7 + 2y))(-3 + y) = 91
((-105 + -30y) + 1y * (7 + 2y) + 2y2 * (7 + 2y))(-3 + y) = 91
(-105 + -30y + (7 * 1y + 2y * 1y) + 2y2 * (7 + 2y))(-3 + y) = 91
(-105 + -30y + (7y + 2y2) + 2y2 * (7 + 2y))(-3 + y) = 91
(-105 + -30y + 7y + 2y2 + (7 * 2y2 + 2y * 2y2))(-3 + y) = 91
(-105 + -30y + 7y + 2y2 + (14y2 + 4y3))(-3 + y) = 91

Combine like terms: -30y + 7y = -23y
(-105 + -23y + 2y2 + 14y2 + 4y3)(-3 + y) = 91

Combine like terms: 2y2 + 14y2 = 16y2
(-105 + -23y + 16y2 + 4y3)(-3 + y) = 91

Multiply (-105 + -23y + 16y2 + 4y3) * (-3 + y)
(-105(-3 + y) + -23y * (-3 + y) + 16y2 * (-3 + y) + 4y3 * (-3 + y)) = 91
((-3 * -105 + y * -105) + -23y * (-3 + y) + 16y2 * (-3 + y) + 4y3 * (-3 + y)) = 91
((315 + -105y) + -23y * (-3 + y) + 16y2 * (-3 + y) + 4y3 * (-3 + y)) = 91
(315 + -105y + (-3 * -23y + y * -23y) + 16y2 * (-3 + y) + 4y3 * (-3 + y)) = 91
(315 + -105y + (69y + -23y2) + 16y2 * (-3 + y) + 4y3 * (-3 + y)) = 91
(315 + -105y + 69y + -23y2 + (-3 * 16y2 + y * 16y2) + 4y3 * (-3 + y)) = 91
(315 + -105y + 69y + -23y2 + (-48y2 + 16y3) + 4y3 * (-3 + y)) = 91
(315 + -105y + 69y + -23y2 + -48y2 + 16y3 + (-3 * 4y3 + y * 4y3)) = 91
(315 + -105y + 69y + -23y2 + -48y2 + 16y3 + (-12y3 + 4y4)) = 91

Combine like terms: -105y + 69y = -36y
(315 + -36y + -23y2 + -48y2 + 16y3 + -12y3 + 4y4) = 91

Combine like terms: -23y2 + -48y2 = -71y2
(315 + -36y + -71y2 + 16y3 + -12y3 + 4y4) = 91

Combine like terms: 16y3 + -12y3 = 4y3
(315 + -36y + -71y2 + 4y3 + 4y4) = 91

Solving
315 + -36y + -71y2 + 4y3 + 4y4 = 91

Solving for variable 'y'.

Reorder the terms:
315 + -91 + -36y + -71y2 + 4y3 + 4y4 = 91 + -91

Combine like terms: 315 + -91 = 224
224 + -36y + -71y2 + 4y3 + 4y4 = 91 + -91

Combine like terms: 91 + -91 = 0
224 + -36y + -71y2 + 4y3 + 4y4 = 0

The solution to this equation could not be determined.

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