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Simplifying 5y + -2 + y + 29 = 6y + 30 + -3y Reorder the terms: -2 + 29 + 5y + y = 6y + 30 + -3y Combine like terms: -2 + 29 = 27 27 + 5y + y = 6y + 30 + -3y Combine like terms: 5y + y = 6y 27 + 6y = 6y + 30 + -3y Reorder the terms: 27 + 6y = 30 + 6y + -3y Combine like terms: 6y + -3y = 3y 27 + 6y = 30 + 3y Solving 27 + 6y = 30 + 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. 27 + 6y + -3y = 30 + 3y + -3y Combine like terms: 6y + -3y = 3y 27 + 3y = 30 + 3y + -3y Combine like terms: 3y + -3y = 0 27 + 3y = 30 + 0 27 + 3y = 30 Add '-27' to each side of the equation. 27 + -27 + 3y = 30 + -27 Combine like terms: 27 + -27 = 0 0 + 3y = 30 + -27 3y = 30 + -27 Combine like terms: 30 + -27 = 3 3y = 3 Divide each side by '3'. y = 1 Simplifying y = 1
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