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Simplifying y = (8x2 + 5x + 7)(6x + 1) Reorder the terms: y = (7 + 5x + 8x2)(6x + 1) Reorder the terms: y = (7 + 5x + 8x2)(1 + 6x) Multiply (7 + 5x + 8x2) * (1 + 6x) y = (7(1 + 6x) + 5x * (1 + 6x) + 8x2 * (1 + 6x)) y = ((1 * 7 + 6x * 7) + 5x * (1 + 6x) + 8x2 * (1 + 6x)) y = ((7 + 42x) + 5x * (1 + 6x) + 8x2 * (1 + 6x)) y = (7 + 42x + (1 * 5x + 6x * 5x) + 8x2 * (1 + 6x)) y = (7 + 42x + (5x + 30x2) + 8x2 * (1 + 6x)) y = (7 + 42x + 5x + 30x2 + (1 * 8x2 + 6x * 8x2)) y = (7 + 42x + 5x + 30x2 + (8x2 + 48x3)) Combine like terms: 42x + 5x = 47x y = (7 + 47x + 30x2 + 8x2 + 48x3) Combine like terms: 30x2 + 8x2 = 38x2 y = (7 + 47x + 38x2 + 48x3) Solving y = 7 + 47x + 38x2 + 48x3 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Simplifying y = 7 + 47x + 38x2 + 48x3
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