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Simplifying 4y + -5 + y + 51 = 8y + 50 + -5y Reorder the terms: -5 + 51 + 4y + y = 8y + 50 + -5y Combine like terms: -5 + 51 = 46 46 + 4y + y = 8y + 50 + -5y Combine like terms: 4y + y = 5y 46 + 5y = 8y + 50 + -5y Reorder the terms: 46 + 5y = 50 + 8y + -5y Combine like terms: 8y + -5y = 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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