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Simplifying y = (8x + -3)(6x + -4)(x + 1) Reorder the terms: y = (-3 + 8x)(6x + -4)(x + 1) Reorder the terms: y = (-3 + 8x)(-4 + 6x)(x + 1) Reorder the terms: y = (-3 + 8x)(-4 + 6x)(1 + x) Multiply (-3 + 8x) * (-4 + 6x) y = (-3(-4 + 6x) + 8x * (-4 + 6x))(1 + x) y = ((-4 * -3 + 6x * -3) + 8x * (-4 + 6x))(1 + x) y = ((12 + -18x) + 8x * (-4 + 6x))(1 + x) y = (12 + -18x + (-4 * 8x + 6x * 8x))(1 + x) y = (12 + -18x + (-32x + 48x2))(1 + x) Combine like terms: -18x + -32x = -50x y = (12 + -50x + 48x2)(1 + x) Multiply (12 + -50x + 48x2) * (1 + x) y = (12(1 + x) + -50x * (1 + x) + 48x2 * (1 + x)) y = ((1 * 12 + x * 12) + -50x * (1 + x) + 48x2 * (1 + x)) y = ((12 + 12x) + -50x * (1 + x) + 48x2 * (1 + x)) y = (12 + 12x + (1 * -50x + x * -50x) + 48x2 * (1 + x)) y = (12 + 12x + (-50x + -50x2) + 48x2 * (1 + x)) y = (12 + 12x + -50x + -50x2 + (1 * 48x2 + x * 48x2)) y = (12 + 12x + -50x + -50x2 + (48x2 + 48x3)) Combine like terms: 12x + -50x = -38x y = (12 + -38x + -50x2 + 48x2 + 48x3) Combine like terms: -50x2 + 48x2 = -2x2 y = (12 + -38x + -2x2 + 48x3) Solving y = 12 + -38x + -2x2 + 48x3 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Simplifying y = 12 + -38x + -2x2 + 48x3
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