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Simplifying 3y + -4y + 9 + 8y = 41 + -1y Reorder the terms: 9 + 3y + -4y + 8y = 41 + -1y Combine like terms: 3y + -4y = -1y 9 + -1y + 8y = 41 + -1y Combine like terms: -1y + 8y = 7y 9 + 7y = 41 + -1y Solving 9 + 7y = 41 + -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. 9 + 7y + y = 41 + -1y + y Combine like terms: 7y + y = 8y 9 + 8y = 41 + -1y + y Combine like terms: -1y + y = 0 9 + 8y = 41 + 0 9 + 8y = 41 Add '-9' to each side of the equation. 9 + -9 + 8y = 41 + -9 Combine like terms: 9 + -9 = 0 0 + 8y = 41 + -9 8y = 41 + -9 Combine like terms: 41 + -9 = 32 8y = 32 Divide each side by '8'. y = 4 Simplifying y = 4
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