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Simplifying 5y + -8 + y + 19 = 8y + 20 + -5y Reorder the terms: -8 + 19 + 5y + y = 8y + 20 + -5y Combine like terms: -8 + 19 = 11 11 + 5y + y = 8y + 20 + -5y Combine like terms: 5y + y = 6y 11 + 6y = 8y + 20 + -5y Reorder the terms: 11 + 6y = 20 + 8y + -5y Combine like terms: 8y + -5y = 3y 11 + 6y = 20 + 3y Solving 11 + 6y = 20 + 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. 11 + 6y + -3y = 20 + 3y + -3y Combine like terms: 6y + -3y = 3y 11 + 3y = 20 + 3y + -3y Combine like terms: 3y + -3y = 0 11 + 3y = 20 + 0 11 + 3y = 20 Add '-11' to each side of the equation. 11 + -11 + 3y = 20 + -11 Combine like terms: 11 + -11 = 0 0 + 3y = 20 + -11 3y = 20 + -11 Combine like terms: 20 + -11 = 9 3y = 9 Divide each side by '3'. y = 3 Simplifying y = 3
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