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Simplifying 12(5 + 2y) = 4y + -1(6 + -1py) (5 * 12 + 2y * 12) = 4y + -1(6 + -1py) (60 + 24y) = 4y + -1(6 + -1py) 60 + 24y = 4y + (6 * -1 + -1py * -1) 60 + 24y = 4y + (-6 + 1py) Reorder the terms: 60 + 24y = -6 + 1py + 4y Solving 60 + 24y = -6 + 1py + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1py' to each side of the equation. 60 + -1py + 24y = -6 + 1py + -1py + 4y Combine like terms: 1py + -1py = 0 60 + -1py + 24y = -6 + 0 + 4y 60 + -1py + 24y = -6 + 4y Add '-4y' to each side of the equation. 60 + -1py + 24y + -4y = -6 + 4y + -4y Combine like terms: 24y + -4y = 20y 60 + -1py + 20y = -6 + 4y + -4y Combine like terms: 4y + -4y = 0 60 + -1py + 20y = -6 + 0 60 + -1py + 20y = -6 Add '-60' to each side of the equation. 60 + -1py + -60 + 20y = -6 + -60 Reorder the terms: 60 + -60 + -1py + 20y = -6 + -60 Combine like terms: 60 + -60 = 0 0 + -1py + 20y = -6 + -60 -1py + 20y = -6 + -60 Combine like terms: -6 + -60 = -66 -1py + 20y = -66 Reorder the terms: 66 + -1py + 20y = -66 + 66 Combine like terms: -66 + 66 = 0 66 + -1py + 20y = 0 The solution to this equation could not be determined.
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