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Simplifying y = (9x2 + 7)(3) + -1(3x + -5)(18x + 7) Reorder the terms: y = (7 + 9x2)(3) + -1(3x + -5)(18x + 7) Reorder the terms for easier multiplication: y = 3(7 + 9x2) + -1(3x + -5)(18x + 7) y = (7 * 3 + 9x2 * 3) + -1(3x + -5)(18x + 7) y = (21 + 27x2) + -1(3x + -5)(18x + 7) Reorder the terms: y = 21 + 27x2 + -1(-5 + 3x)(18x + 7) Reorder the terms: y = 21 + 27x2 + -1(-5 + 3x)(7 + 18x) Multiply (-5 + 3x) * (7 + 18x) y = 21 + 27x2 + -1(-5(7 + 18x) + 3x * (7 + 18x)) y = 21 + 27x2 + -1((7 * -5 + 18x * -5) + 3x * (7 + 18x)) y = 21 + 27x2 + -1((-35 + -90x) + 3x * (7 + 18x)) y = 21 + 27x2 + -1(-35 + -90x + (7 * 3x + 18x * 3x)) y = 21 + 27x2 + -1(-35 + -90x + (21x + 54x2)) Combine like terms: -90x + 21x = -69x y = 21 + 27x2 + -1(-35 + -69x + 54x2) y = 21 + 27x2 + (-35 * -1 + -69x * -1 + 54x2 * -1) y = 21 + 27x2 + (35 + 69x + -54x2) Reorder the terms: y = 21 + 35 + 69x + 27x2 + -54x2 Combine like terms: 21 + 35 = 56 y = 56 + 69x + 27x2 + -54x2 Combine like terms: 27x2 + -54x2 = -27x2 y = 56 + 69x + -27x2 Solving y = 56 + 69x + -27x2 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Simplifying y = 56 + 69x + -27x2
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