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Simplifying (2y + -3)(4y2 + 6y + 9) = 0 Reorder the terms: (-3 + 2y)(4y2 + 6y + 9) = 0 Reorder the terms: (-3 + 2y)(9 + 6y + 4y2) = 0 Multiply (-3 + 2y) * (9 + 6y + 4y2) (-3(9 + 6y + 4y2) + 2y * (9 + 6y + 4y2)) = 0 ((9 * -3 + 6y * -3 + 4y2 * -3) + 2y * (9 + 6y + 4y2)) = 0 ((-27 + -18y + -12y2) + 2y * (9 + 6y + 4y2)) = 0 (-27 + -18y + -12y2 + (9 * 2y + 6y * 2y + 4y2 * 2y)) = 0 (-27 + -18y + -12y2 + (18y + 12y2 + 8y3)) = 0 Reorder the terms: (-27 + -18y + 18y + -12y2 + 12y2 + 8y3) = 0 Combine like terms: -18y + 18y = 0 (-27 + 0 + -12y2 + 12y2 + 8y3) = 0 (-27 + -12y2 + 12y2 + 8y3) = 0 Combine like terms: -12y2 + 12y2 = 0 (-27 + 0 + 8y3) = 0 (-27 + 8y3) = 0 Solving -27 + 8y3 = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + 8y3 = 0 + 27 Combine like terms: -27 + 27 = 0 0 + 8y3 = 0 + 27 8y3 = 0 + 27 Combine like terms: 0 + 27 = 27 8y3 = 27 Divide each side by '8'. y3 = 3.375 Simplifying y3 = 3.375 Reorder the terms: -3.375 + y3 = 3.375 + -3.375 Combine like terms: 3.375 + -3.375 = 0.000 -3.375 + y3 = 0.000 The solution to this equation could not be determined.
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