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Simplifying A = (3y + 4)(5y + -2) + -1(20y + -12) Reorder the terms: A = (4 + 3y)(5y + -2) + -1(20y + -12) Reorder the terms: A = (4 + 3y)(-2 + 5y) + -1(20y + -12) Multiply (4 + 3y) * (-2 + 5y) A = (4(-2 + 5y) + 3y * (-2 + 5y)) + -1(20y + -12) A = ((-2 * 4 + 5y * 4) + 3y * (-2 + 5y)) + -1(20y + -12) A = ((-8 + 20y) + 3y * (-2 + 5y)) + -1(20y + -12) A = (-8 + 20y + (-2 * 3y + 5y * 3y)) + -1(20y + -12) A = (-8 + 20y + (-6y + 15y2)) + -1(20y + -12) Combine like terms: 20y + -6y = 14y A = (-8 + 14y + 15y2) + -1(20y + -12) Reorder the terms: A = -8 + 14y + 15y2 + -1(-12 + 20y) A = -8 + 14y + 15y2 + (-12 * -1 + 20y * -1) A = -8 + 14y + 15y2 + (12 + -20y) Reorder the terms: A = -8 + 12 + 14y + -20y + 15y2 Combine like terms: -8 + 12 = 4 A = 4 + 14y + -20y + 15y2 Combine like terms: 14y + -20y = -6y A = 4 + -6y + 15y2 Solving A = 4 + -6y + 15y2 Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Simplifying A = 4 + -6y + 15y2
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