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Simplifying 5y + -3 + y + 53 = 8y + 50 + -5y Reorder the terms: -3 + 53 + 5y + y = 8y + 50 + -5y Combine like terms: -3 + 53 = 50 50 + 5y + y = 8y + 50 + -5y Combine like terms: 5y + y = 6y 50 + 6y = 8y + 50 + -5y Reorder the terms: 50 + 6y = 50 + 8y + -5y Combine like terms: 8y + -5y = 3y 50 + 6y = 50 + 3y Add '-50' to each side of the equation. 50 + -50 + 6y = 50 + -50 + 3y Combine like terms: 50 + -50 = 0 0 + 6y = 50 + -50 + 3y 6y = 50 + -50 + 3y Combine like terms: 50 + -50 = 0 6y = 0 + 3y 6y = 3y Solving 6y = 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. 6y + -3y = 3y + -3y Combine like terms: 6y + -3y = 3y 3y = 3y + -3y Combine like terms: 3y + -3y = 0 3y = 0 Divide each side by '3'. y = 0 Simplifying y = 0
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