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Simplifying 3y + 1 = 2y + 9 Reorder the terms: 1 + 3y = 2y + 9 Reorder the terms: 1 + 3y = 9 + 2y Solving 1 + 3y = 9 + 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. 1 + 3y + -2y = 9 + 2y + -2y Combine like terms: 3y + -2y = 1y 1 + 1y = 9 + 2y + -2y Combine like terms: 2y + -2y = 0 1 + 1y = 9 + 0 1 + 1y = 9 Add '-1' to each side of the equation. 1 + -1 + 1y = 9 + -1 Combine like terms: 1 + -1 = 0 0 + 1y = 9 + -1 1y = 9 + -1 Combine like terms: 9 + -1 = 8 1y = 8 Divide each side by '1'. y = 8 Simplifying y = 8
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