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Simplifying y = (x + -3)(x + -3) + (x + -9)(x + -9) Reorder the terms: y = (-3 + x)(x + -3) + (x + -9)(x + -9) Reorder the terms: y = (-3 + x)(-3 + x) + (x + -9)(x + -9) Multiply (-3 + x) * (-3 + x) y = (-3(-3 + x) + x(-3 + x)) + (x + -9)(x + -9) y = ((-3 * -3 + x * -3) + x(-3 + x)) + (x + -9)(x + -9) y = ((9 + -3x) + x(-3 + x)) + (x + -9)(x + -9) y = (9 + -3x + (-3 * x + x * x)) + (x + -9)(x + -9) y = (9 + -3x + (-3x + x2)) + (x + -9)(x + -9) Combine like terms: -3x + -3x = -6x y = (9 + -6x + x2) + (x + -9)(x + -9) Reorder the terms: y = 9 + -6x + x2 + (-9 + x)(x + -9) Reorder the terms: y = 9 + -6x + x2 + (-9 + x)(-9 + x) Multiply (-9 + x) * (-9 + x) y = 9 + -6x + x2 + (-9(-9 + x) + x(-9 + x)) y = 9 + -6x + x2 + ((-9 * -9 + x * -9) + x(-9 + x)) y = 9 + -6x + x2 + ((81 + -9x) + x(-9 + x)) y = 9 + -6x + x2 + (81 + -9x + (-9 * x + x * x)) y = 9 + -6x + x2 + (81 + -9x + (-9x + x2)) Combine like terms: -9x + -9x = -18x y = 9 + -6x + x2 + (81 + -18x + x2) Reorder the terms: y = 9 + 81 + -6x + -18x + x2 + x2 Combine like terms: 9 + 81 = 90 y = 90 + -6x + -18x + x2 + x2 Combine like terms: -6x + -18x = -24x y = 90 + -24x + x2 + x2 Combine like terms: x2 + x2 = 2x2 y = 90 + -24x + 2x2 Solving y = 90 + -24x + 2x2 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Simplifying y = 90 + -24x + 2x2
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