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Simplifying 2y + 46 = y + 41 Reorder the terms: 46 + 2y = y + 41 Reorder the terms: 46 + 2y = 41 + y Solving 46 + 2y = 41 + 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. 46 + 2y + -1y = 41 + y + -1y Combine like terms: 2y + -1y = 1y 46 + 1y = 41 + y + -1y Combine like terms: y + -1y = 0 46 + 1y = 41 + 0 46 + 1y = 41 Add '-46' to each side of the equation. 46 + -46 + 1y = 41 + -46 Combine like terms: 46 + -46 = 0 0 + 1y = 41 + -46 1y = 41 + -46 Combine like terms: 41 + -46 = -5 1y = -5 Divide each side by '1'. y = -5 Simplifying y = -5
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