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Simplifying 3 + -6 + y + 44 = 6 + 40 + -4y Reorder the terms: 3 + -6 + 44 + y = 6 + 40 + -4y Combine like terms: 3 + -6 = -3 -3 + 44 + y = 6 + 40 + -4y Combine like terms: -3 + 44 = 41 41 + y = 6 + 40 + -4y Combine like terms: 6 + 40 = 46 41 + y = 46 + -4y Solving 41 + y = 46 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. 41 + y + 4y = 46 + -4y + 4y Combine like terms: y + 4y = 5y 41 + 5y = 46 + -4y + 4y Combine like terms: -4y + 4y = 0 41 + 5y = 46 + 0 41 + 5y = 46 Add '-41' to each side of the equation. 41 + -41 + 5y = 46 + -41 Combine like terms: 41 + -41 = 0 0 + 5y = 46 + -41 5y = 46 + -41 Combine like terms: 46 + -41 = 5 5y = 5 Divide each side by '5'. y = 1 Simplifying y = 1
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