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Simplifying 5y + -1 + y + 41 = 8y + 40 + -8y Reorder the terms: -1 + 41 + 5y + y = 8y + 40 + -8y Combine like terms: -1 + 41 = 40 40 + 5y + y = 8y + 40 + -8y Combine like terms: 5y + y = 6y 40 + 6y = 8y + 40 + -8y Reorder the terms: 40 + 6y = 40 + 8y + -8y Combine like terms: 8y + -8y = 0 40 + 6y = 40 + 0 40 + 6y = 40 Add '-40' to each side of the equation. 40 + -40 + 6y = 40 + -40 Combine like terms: 40 + -40 = 0 0 + 6y = 40 + -40 6y = 40 + -40 Combine like terms: 40 + -40 = 0 6y = 0 Solving 6y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Divide each side by '6'. y = 0 Simplifying y = 0
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