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Simplifying y = (6x + 2)(4x2 + 4x + 1) Reorder the terms: y = (2 + 6x)(4x2 + 4x + 1) Reorder the terms: y = (2 + 6x)(1 + 4x + 4x2) Multiply (2 + 6x) * (1 + 4x + 4x2) y = (2(1 + 4x + 4x2) + 6x * (1 + 4x + 4x2)) y = ((1 * 2 + 4x * 2 + 4x2 * 2) + 6x * (1 + 4x + 4x2)) y = ((2 + 8x + 8x2) + 6x * (1 + 4x + 4x2)) y = (2 + 8x + 8x2 + (1 * 6x + 4x * 6x + 4x2 * 6x)) y = (2 + 8x + 8x2 + (6x + 24x2 + 24x3)) Reorder the terms: y = (2 + 8x + 6x + 8x2 + 24x2 + 24x3) Combine like terms: 8x + 6x = 14x y = (2 + 14x + 8x2 + 24x2 + 24x3) Combine like terms: 8x2 + 24x2 = 32x2 y = (2 + 14x + 32x2 + 24x3) Solving y = 2 + 14x + 32x2 + 24x3 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Simplifying y = 2 + 14x + 32x2 + 24x3
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