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Simplifying (Y + 3)(2y + 1) = 7 Reorder the terms: (3 + Y)(2y + 1) = 7 Reorder the terms: (3 + Y)(1 + 2y) = 7 Multiply (3 + Y) * (1 + 2y) (3(1 + 2y) + Y(1 + 2y)) = 7 ((1 * 3 + 2y * 3) + Y(1 + 2y)) = 7 ((3 + 6y) + Y(1 + 2y)) = 7 (3 + 6y + (1 * Y + 2y * Y)) = 7 (3 + 6y + (1Y + 2yY)) = 7 Reorder the terms: (3 + 1Y + 6y + 2yY) = 7 (3 + 1Y + 6y + 2yY) = 7 Solving 3 + 1Y + 6y + 2yY = 7 Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 1Y + 6y + -3 + 2yY = 7 + -3 Reorder the terms: 3 + -3 + 1Y + 6y + 2yY = 7 + -3 Combine like terms: 3 + -3 = 0 0 + 1Y + 6y + 2yY = 7 + -3 1Y + 6y + 2yY = 7 + -3 Combine like terms: 7 + -3 = 4 1Y + 6y + 2yY = 4 Add '-6y' to each side of the equation. 1Y + 6y + -6y + 2yY = 4 + -6y Combine like terms: 6y + -6y = 0 1Y + 0 + 2yY = 4 + -6y 1Y + 2yY = 4 + -6y Reorder the terms: -4 + 1Y + 6y + 2yY = 4 + -6y + -4 + 6y Reorder the terms: -4 + 1Y + 6y + 2yY = 4 + -4 + -6y + 6y Combine like terms: 4 + -4 = 0 -4 + 1Y + 6y + 2yY = 0 + -6y + 6y -4 + 1Y + 6y + 2yY = -6y + 6y Combine like terms: -6y + 6y = 0 -4 + 1Y + 6y + 2yY = 0 The solution to this equation could not be determined.
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