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Simplifying 3y + 1 = 9 + -1y Reorder the terms: 1 + 3y = 9 + -1y Solving 1 + 3y = 9 + -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. 1 + 3y + y = 9 + -1y + y Combine like terms: 3y + y = 4y 1 + 4y = 9 + -1y + y Combine like terms: -1y + y = 0 1 + 4y = 9 + 0 1 + 4y = 9 Add '-1' to each side of the equation. 1 + -1 + 4y = 9 + -1 Combine like terms: 1 + -1 = 0 0 + 4y = 9 + -1 4y = 9 + -1 Combine like terms: 9 + -1 = 8 4y = 8 Divide each side by '4'. y = 2 Simplifying y = 2
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