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Simplifying y = [(x + -4)(x + -4)] + -1[(x + -12)(x + -12)] Reorder the terms: y = [(-4 + x)(x + -4)] + -1[(x + -12)(x + -12)] Reorder the terms: y = [(-4 + x)(-4 + x)] + -1[(x + -12)(x + -12)] Multiply (-4 + x) * (-4 + x) y = [(-4(-4 + x) + x(-4 + x))] + -1[(x + -12)(x + -12)] y = [((-4 * -4 + x * -4) + x(-4 + x))] + -1[(x + -12)(x + -12)] y = [((16 + -4x) + x(-4 + x))] + -1[(x + -12)(x + -12)] y = [(16 + -4x + (-4 * x + x * x))] + -1[(x + -12)(x + -12)] y = [(16 + -4x + (-4x + x2))] + -1[(x + -12)(x + -12)] Combine like terms: -4x + -4x = -8x y = [(16 + -8x + x2)] + -1[(x + -12)(x + -12)] y = [16 + -8x + x2] + -1[(x + -12)(x + -12)] Remove brackets around [16 + -8x + x2] y = 16 + -8x + x2 + -1[(x + -12)(x + -12)] Reorder the terms: y = 16 + -8x + x2 + -1[(-12 + x)(x + -12)] Reorder the terms: y = 16 + -8x + x2 + -1[(-12 + x)(-12 + x)] Multiply (-12 + x) * (-12 + x) y = 16 + -8x + x2 + -1[(-12(-12 + x) + x(-12 + x))] y = 16 + -8x + x2 + -1[((-12 * -12 + x * -12) + x(-12 + x))] y = 16 + -8x + x2 + -1[((144 + -12x) + x(-12 + x))] y = 16 + -8x + x2 + -1[(144 + -12x + (-12 * x + x * x))] y = 16 + -8x + x2 + -1[(144 + -12x + (-12x + x2))] Combine like terms: -12x + -12x = -24x y = 16 + -8x + x2 + -1[(144 + -24x + x2)] y = 16 + -8x + x2 + [144 * -1 + -24x * -1 + x2 * -1] y = 16 + -8x + x2 + [-144 + 24x + -1x2] Reorder the terms: y = 16 + -144 + -8x + 24x + x2 + -1x2 Combine like terms: 16 + -144 = -128 y = -128 + -8x + 24x + x2 + -1x2 Combine like terms: -8x + 24x = 16x y = -128 + 16x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 y = -128 + 16x + 0 y = -128 + 16x Solving y = -128 + 16x Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Simplifying y = -128 + 16x
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