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Simplifying 3(y + 2) + -1(2y + 1) = y + 5 Reorder the terms: 3(2 + y) + -1(2y + 1) = y + 5 (2 * 3 + y * 3) + -1(2y + 1) = y + 5 (6 + 3y) + -1(2y + 1) = y + 5 Reorder the terms: 6 + 3y + -1(1 + 2y) = y + 5 6 + 3y + (1 * -1 + 2y * -1) = y + 5 6 + 3y + (-1 + -2y) = y + 5 Reorder the terms: 6 + -1 + 3y + -2y = y + 5 Combine like terms: 6 + -1 = 5 5 + 3y + -2y = y + 5 Combine like terms: 3y + -2y = 1y 5 + 1y = y + 5 Reorder the terms: 5 + 1y = 5 + y Add '-5' to each side of the equation. 5 + -5 + 1y = 5 + -5 + y Combine like terms: 5 + -5 = 0 0 + 1y = 5 + -5 + y 1y = 5 + -5 + y Combine like terms: 5 + -5 = 0 1y = 0 + y 1y = y Solving 1y = y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. 1y + -1y = y + -1y Combine like terms: 1y + -1y = 0 0 = y + -1y Combine like terms: y + -1y = 0 0 = 0 Simplifying 0 = 0 The solution to this equation could not be determined.
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