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Simplifying (Y + 3)(y + 6) = 10 Reorder the terms: (3 + Y)(y + 6) = 10 Reorder the terms: (3 + Y)(6 + y) = 10 Multiply (3 + Y) * (6 + y) (3(6 + y) + Y(6 + y)) = 10 ((6 * 3 + y * 3) + Y(6 + y)) = 10 ((18 + 3y) + Y(6 + y)) = 10 (18 + 3y + (6 * Y + y * Y)) = 10 (18 + 3y + (6Y + yY)) = 10 Reorder the terms: (18 + 6Y + 3y + yY) = 10 (18 + 6Y + 3y + yY) = 10 Solving 18 + 6Y + 3y + yY = 10 Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + 6Y + 3y + -18 + yY = 10 + -18 Reorder the terms: 18 + -18 + 6Y + 3y + yY = 10 + -18 Combine like terms: 18 + -18 = 0 0 + 6Y + 3y + yY = 10 + -18 6Y + 3y + yY = 10 + -18 Combine like terms: 10 + -18 = -8 6Y + 3y + yY = -8 Add '-3y' to each side of the equation. 6Y + 3y + -3y + yY = -8 + -3y Combine like terms: 3y + -3y = 0 6Y + 0 + yY = -8 + -3y 6Y + yY = -8 + -3y Reorder the terms: 8 + 6Y + 3y + yY = -8 + -3y + 8 + 3y Reorder the terms: 8 + 6Y + 3y + yY = -8 + 8 + -3y + 3y Combine like terms: -8 + 8 = 0 8 + 6Y + 3y + yY = 0 + -3y + 3y 8 + 6Y + 3y + yY = -3y + 3y Combine like terms: -3y + 3y = 0 8 + 6Y + 3y + yY = 0 The solution to this equation could not be determined.
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