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Simplifying y = (5x2 + 6x + 3)(4x2 + -4x + 5) Reorder the terms: y = (3 + 6x + 5x2)(4x2 + -4x + 5) Reorder the terms: y = (3 + 6x + 5x2)(5 + -4x + 4x2) Multiply (3 + 6x + 5x2) * (5 + -4x + 4x2) y = (3(5 + -4x + 4x2) + 6x * (5 + -4x + 4x2) + 5x2 * (5 + -4x + 4x2)) y = ((5 * 3 + -4x * 3 + 4x2 * 3) + 6x * (5 + -4x + 4x2) + 5x2 * (5 + -4x + 4x2)) y = ((15 + -12x + 12x2) + 6x * (5 + -4x + 4x2) + 5x2 * (5 + -4x + 4x2)) y = (15 + -12x + 12x2 + (5 * 6x + -4x * 6x + 4x2 * 6x) + 5x2 * (5 + -4x + 4x2)) y = (15 + -12x + 12x2 + (30x + -24x2 + 24x3) + 5x2 * (5 + -4x + 4x2)) y = (15 + -12x + 12x2 + 30x + -24x2 + 24x3 + (5 * 5x2 + -4x * 5x2 + 4x2 * 5x2)) y = (15 + -12x + 12x2 + 30x + -24x2 + 24x3 + (25x2 + -20x3 + 20x4)) Reorder the terms: y = (15 + -12x + 30x + 12x2 + -24x2 + 25x2 + 24x3 + -20x3 + 20x4) Combine like terms: -12x + 30x = 18x y = (15 + 18x + 12x2 + -24x2 + 25x2 + 24x3 + -20x3 + 20x4) Combine like terms: 12x2 + -24x2 = -12x2 y = (15 + 18x + -12x2 + 25x2 + 24x3 + -20x3 + 20x4) Combine like terms: -12x2 + 25x2 = 13x2 y = (15 + 18x + 13x2 + 24x3 + -20x3 + 20x4) Combine like terms: 24x3 + -20x3 = 4x3 y = (15 + 18x + 13x2 + 4x3 + 20x4) Solving y = 15 + 18x + 13x2 + 4x3 + 20x4 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Simplifying y = 15 + 18x + 13x2 + 4x3 + 20x4
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