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Simplifying y + -7 = (x + -4)(x + -4)(x + -4) Reorder the terms: -7 + y = (x + -4)(x + -4)(x + -4) Reorder the terms: -7 + y = (-4 + x)(x + -4)(x + -4) Reorder the terms: -7 + y = (-4 + x)(-4 + x)(x + -4) Reorder the terms: -7 + y = (-4 + x)(-4 + x)(-4 + x) Multiply (-4 + x) * (-4 + x) -7 + y = (-4(-4 + x) + x(-4 + x))(-4 + x) -7 + y = ((-4 * -4 + x * -4) + x(-4 + x))(-4 + x) -7 + y = ((16 + -4x) + x(-4 + x))(-4 + x) -7 + y = (16 + -4x + (-4 * x + x * x))(-4 + x) -7 + y = (16 + -4x + (-4x + x2))(-4 + x) Combine like terms: -4x + -4x = -8x -7 + y = (16 + -8x + x2)(-4 + x) Multiply (16 + -8x + x2) * (-4 + x) -7 + y = (16(-4 + x) + -8x * (-4 + x) + x2(-4 + x)) -7 + y = ((-4 * 16 + x * 16) + -8x * (-4 + x) + x2(-4 + x)) -7 + y = ((-64 + 16x) + -8x * (-4 + x) + x2(-4 + x)) -7 + y = (-64 + 16x + (-4 * -8x + x * -8x) + x2(-4 + x)) -7 + y = (-64 + 16x + (32x + -8x2) + x2(-4 + x)) -7 + y = (-64 + 16x + 32x + -8x2 + (-4 * x2 + x * x2)) -7 + y = (-64 + 16x + 32x + -8x2 + (-4x2 + x3)) Combine like terms: 16x + 32x = 48x -7 + y = (-64 + 48x + -8x2 + -4x2 + x3) Combine like terms: -8x2 + -4x2 = -12x2 -7 + y = (-64 + 48x + -12x2 + x3) Solving -7 + y = -64 + 48x + -12x2 + x3 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + y = -64 + 48x + -12x2 + 7 + x3 Combine like terms: -7 + 7 = 0 0 + y = -64 + 48x + -12x2 + 7 + x3 y = -64 + 48x + -12x2 + 7 + x3 Reorder the terms: y = -64 + 7 + 48x + -12x2 + x3 Combine like terms: -64 + 7 = -57 y = -57 + 48x + -12x2 + x3 Simplifying y = -57 + 48x + -12x2 + x3
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