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Simplifying 5y + -8 + y = 41 + 4y + -5y Reorder the terms: -8 + 5y + y = 41 + 4y + -5y Combine like terms: 5y + y = 6y -8 + 6y = 41 + 4y + -5y Combine like terms: 4y + -5y = -1y -8 + 6y = 41 + -1y Solving -8 + 6y = 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. -8 + 6y + y = 41 + -1y + y Combine like terms: 6y + y = 7y -8 + 7y = 41 + -1y + y Combine like terms: -1y + y = 0 -8 + 7y = 41 + 0 -8 + 7y = 41 Add '8' to each side of the equation. -8 + 8 + 7y = 41 + 8 Combine like terms: -8 + 8 = 0 0 + 7y = 41 + 8 7y = 41 + 8 Combine like terms: 41 + 8 = 49 7y = 49 Divide each side by '7'. y = 7 Simplifying y = 7
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