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Simplifying 3y + 2 + -1y = 29 + -1y + 9 Reorder the terms: 2 + 3y + -1y = 29 + -1y + 9 Combine like terms: 3y + -1y = 2y 2 + 2y = 29 + -1y + 9 Reorder the terms: 2 + 2y = 29 + 9 + -1y Combine like terms: 29 + 9 = 38 2 + 2y = 38 + -1y Solving 2 + 2y = 38 + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. 2 + 2y + y = 38 + -1y + y Combine like terms: 2y + y = 3y 2 + 3y = 38 + -1y + y Combine like terms: -1y + y = 0 2 + 3y = 38 + 0 2 + 3y = 38 Add '-2' to each side of the equation. 2 + -2 + 3y = 38 + -2 Combine like terms: 2 + -2 = 0 0 + 3y = 38 + -2 3y = 38 + -2 Combine like terms: 38 + -2 = 36 3y = 36 Divide each side by '3'. y = 12 Simplifying y = 12
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