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Simplifying y = (6x3 + -2x2 + 1)(5x2 + -6x + -3) Reorder the terms: y = (1 + -2x2 + 6x3)(5x2 + -6x + -3) Reorder the terms: y = (1 + -2x2 + 6x3)(-3 + -6x + 5x2) Multiply (1 + -2x2 + 6x3) * (-3 + -6x + 5x2) y = (1(-3 + -6x + 5x2) + -2x2 * (-3 + -6x + 5x2) + 6x3 * (-3 + -6x + 5x2)) y = ((-3 * 1 + -6x * 1 + 5x2 * 1) + -2x2 * (-3 + -6x + 5x2) + 6x3 * (-3 + -6x + 5x2)) y = ((-3 + -6x + 5x2) + -2x2 * (-3 + -6x + 5x2) + 6x3 * (-3 + -6x + 5x2)) y = (-3 + -6x + 5x2 + (-3 * -2x2 + -6x * -2x2 + 5x2 * -2x2) + 6x3 * (-3 + -6x + 5x2)) y = (-3 + -6x + 5x2 + (6x2 + 12x3 + -10x4) + 6x3 * (-3 + -6x + 5x2)) y = (-3 + -6x + 5x2 + 6x2 + 12x3 + -10x4 + (-3 * 6x3 + -6x * 6x3 + 5x2 * 6x3)) y = (-3 + -6x + 5x2 + 6x2 + 12x3 + -10x4 + (-18x3 + -36x4 + 30x5)) Reorder the terms: y = (-3 + -6x + 5x2 + 6x2 + 12x3 + -18x3 + -10x4 + -36x4 + 30x5) Combine like terms: 5x2 + 6x2 = 11x2 y = (-3 + -6x + 11x2 + 12x3 + -18x3 + -10x4 + -36x4 + 30x5) Combine like terms: 12x3 + -18x3 = -6x3 y = (-3 + -6x + 11x2 + -6x3 + -10x4 + -36x4 + 30x5) Combine like terms: -10x4 + -36x4 = -46x4 y = (-3 + -6x + 11x2 + -6x3 + -46x4 + 30x5) Solving y = -3 + -6x + 11x2 + -6x3 + -46x4 + 30x5 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Simplifying y = -3 + -6x + 11x2 + -6x3 + -46x4 + 30x5
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