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Simplifying 5y + -10 + y + 27 = 6y + 20 + -3y Reorder the terms: -10 + 27 + 5y + y = 6y + 20 + -3y Combine like terms: -10 + 27 = 17 17 + 5y + y = 6y + 20 + -3y Combine like terms: 5y + y = 6y 17 + 6y = 6y + 20 + -3y Reorder the terms: 17 + 6y = 20 + 6y + -3y Combine like terms: 6y + -3y = 3y 17 + 6y = 20 + 3y Solving 17 + 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. 17 + 6y + -3y = 20 + 3y + -3y Combine like terms: 6y + -3y = 3y 17 + 3y = 20 + 3y + -3y Combine like terms: 3y + -3y = 0 17 + 3y = 20 + 0 17 + 3y = 20 Add '-17' to each side of the equation. 17 + -17 + 3y = 20 + -17 Combine like terms: 17 + -17 = 0 0 + 3y = 20 + -17 3y = 20 + -17 Combine like terms: 20 + -17 = 3 3y = 3 Divide each side by '3'. y = 1 Simplifying y = 1
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