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Simplifying (3y + -8)(9y2 + 24y + 64) = 0 Reorder the terms: (-8 + 3y)(9y2 + 24y + 64) = 0 Reorder the terms: (-8 + 3y)(64 + 24y + 9y2) = 0 Multiply (-8 + 3y) * (64 + 24y + 9y2) (-8(64 + 24y + 9y2) + 3y * (64 + 24y + 9y2)) = 0 ((64 * -8 + 24y * -8 + 9y2 * -8) + 3y * (64 + 24y + 9y2)) = 0 ((-512 + -192y + -72y2) + 3y * (64 + 24y + 9y2)) = 0 (-512 + -192y + -72y2 + (64 * 3y + 24y * 3y + 9y2 * 3y)) = 0 (-512 + -192y + -72y2 + (192y + 72y2 + 27y3)) = 0 Reorder the terms: (-512 + -192y + 192y + -72y2 + 72y2 + 27y3) = 0 Combine like terms: -192y + 192y = 0 (-512 + 0 + -72y2 + 72y2 + 27y3) = 0 (-512 + -72y2 + 72y2 + 27y3) = 0 Combine like terms: -72y2 + 72y2 = 0 (-512 + 0 + 27y3) = 0 (-512 + 27y3) = 0 Solving -512 + 27y3 = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '512' to each side of the equation. -512 + 512 + 27y3 = 0 + 512 Combine like terms: -512 + 512 = 0 0 + 27y3 = 0 + 512 27y3 = 0 + 512 Combine like terms: 0 + 512 = 512 27y3 = 512 Divide each side by '27'. y3 = 18.96296296 Simplifying y3 = 18.96296296 Reorder the terms: -18.96296296 + y3 = 18.96296296 + -18.96296296 Combine like terms: 18.96296296 + -18.96296296 = 0.00000000 -18.96296296 + y3 = 0.00000000 The solution to this equation could not be determined.
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