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Simplifying 4y + -8 + y + 29 = 5y + 30 + -3y Reorder the terms: -8 + 29 + 4y + y = 5y + 30 + -3y Combine like terms: -8 + 29 = 21 21 + 4y + y = 5y + 30 + -3y Combine like terms: 4y + y = 5y 21 + 5y = 5y + 30 + -3y Reorder the terms: 21 + 5y = 30 + 5y + -3y Combine like terms: 5y + -3y = 2y 21 + 5y = 30 + 2y Solving 21 + 5y = 30 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 21 + 5y + -2y = 30 + 2y + -2y Combine like terms: 5y + -2y = 3y 21 + 3y = 30 + 2y + -2y Combine like terms: 2y + -2y = 0 21 + 3y = 30 + 0 21 + 3y = 30 Add '-21' to each side of the equation. 21 + -21 + 3y = 30 + -21 Combine like terms: 21 + -21 = 0 0 + 3y = 30 + -21 3y = 30 + -21 Combine like terms: 30 + -21 = 9 3y = 9 Divide each side by '3'. y = 3 Simplifying y = 3
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