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Simplifying 4y + -1 + y + 41 = 8y + 40 + -5y Reorder the terms: -1 + 41 + 4y + y = 8y + 40 + -5y Combine like terms: -1 + 41 = 40 40 + 4y + y = 8y + 40 + -5y Combine like terms: 4y + y = 5y 40 + 5y = 8y + 40 + -5y Reorder the terms: 40 + 5y = 40 + 8y + -5y Combine like terms: 8y + -5y = 3y 40 + 5y = 40 + 3y Add '-40' to each side of the equation. 40 + -40 + 5y = 40 + -40 + 3y Combine like terms: 40 + -40 = 0 0 + 5y = 40 + -40 + 3y 5y = 40 + -40 + 3y Combine like terms: 40 + -40 = 0 5y = 0 + 3y 5y = 3y Solving 5y = 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 5y + -3y = 3y + -3y Combine like terms: 5y + -3y = 2y 2y = 3y + -3y Combine like terms: 3y + -3y = 0 2y = 0 Divide each side by '2'. y = 0 Simplifying y = 0
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