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Simplifying 4y + -7 + y + 53 = 5 + 6y + 45 + -3y Reorder the terms: -7 + 53 + 4y + y = 5 + 6y + 45 + -3y Combine like terms: -7 + 53 = 46 46 + 4y + y = 5 + 6y + 45 + -3y Combine like terms: 4y + y = 5y 46 + 5y = 5 + 6y + 45 + -3y Reorder the terms: 46 + 5y = 5 + 45 + 6y + -3y Combine like terms: 5 + 45 = 50 46 + 5y = 50 + 6y + -3y Combine like terms: 6y + -3y = 3y 46 + 5y = 50 + 3y Solving 46 + 5y = 50 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 46 + 5y + -3y = 50 + 3y + -3y Combine like terms: 5y + -3y = 2y 46 + 2y = 50 + 3y + -3y Combine like terms: 3y + -3y = 0 46 + 2y = 50 + 0 46 + 2y = 50 Add '-46' to each side of the equation. 46 + -46 + 2y = 50 + -46 Combine like terms: 46 + -46 = 0 0 + 2y = 50 + -46 2y = 50 + -46 Combine like terms: 50 + -46 = 4 2y = 4 Divide each side by '2'. y = 2 Simplifying y = 2
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