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Simplifying Y = (2x + 1)(3x + -5)(x + 5) Reorder the terms: Y = (1 + 2x)(3x + -5)(x + 5) Reorder the terms: Y = (1 + 2x)(-5 + 3x)(x + 5) Reorder the terms: Y = (1 + 2x)(-5 + 3x)(5 + x) Multiply (1 + 2x) * (-5 + 3x) Y = (1(-5 + 3x) + 2x * (-5 + 3x))(5 + x) Y = ((-5 * 1 + 3x * 1) + 2x * (-5 + 3x))(5 + x) Y = ((-5 + 3x) + 2x * (-5 + 3x))(5 + x) Y = (-5 + 3x + (-5 * 2x + 3x * 2x))(5 + x) Y = (-5 + 3x + (-10x + 6x2))(5 + x) Combine like terms: 3x + -10x = -7x Y = (-5 + -7x + 6x2)(5 + x) Multiply (-5 + -7x + 6x2) * (5 + x) Y = (-5(5 + x) + -7x * (5 + x) + 6x2 * (5 + x)) Y = ((5 * -5 + x * -5) + -7x * (5 + x) + 6x2 * (5 + x)) Y = ((-25 + -5x) + -7x * (5 + x) + 6x2 * (5 + x)) Y = (-25 + -5x + (5 * -7x + x * -7x) + 6x2 * (5 + x)) Y = (-25 + -5x + (-35x + -7x2) + 6x2 * (5 + x)) Y = (-25 + -5x + -35x + -7x2 + (5 * 6x2 + x * 6x2)) Y = (-25 + -5x + -35x + -7x2 + (30x2 + 6x3)) Combine like terms: -5x + -35x = -40x Y = (-25 + -40x + -7x2 + 30x2 + 6x3) Combine like terms: -7x2 + 30x2 = 23x2 Y = (-25 + -40x + 23x2 + 6x3) Solving Y = -25 + -40x + 23x2 + 6x3 Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Simplifying Y = -25 + -40x + 23x2 + 6x3
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