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Simplifying y + 41 = 2y + 46 Reorder the terms: 41 + y = 2y + 46 Reorder the terms: 41 + y = 46 + 2y Solving 41 + y = 46 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 41 + y + -2y = 46 + 2y + -2y Combine like terms: y + -2y = -1y 41 + -1y = 46 + 2y + -2y Combine like terms: 2y + -2y = 0 41 + -1y = 46 + 0 41 + -1y = 46 Add '-41' to each side of the equation. 41 + -41 + -1y = 46 + -41 Combine like terms: 41 + -41 = 0 0 + -1y = 46 + -41 -1y = 46 + -41 Combine like terms: 46 + -41 = 5 -1y = 5 Divide each side by '-1'. y = -5 Simplifying y = -5
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