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Simplifying 5y + -8 = 40 + -1y Reorder the terms: -8 + 5y = 40 + -1y Solving -8 + 5y = 40 + -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 + 5y + y = 40 + -1y + y Combine like terms: 5y + y = 6y -8 + 6y = 40 + -1y + y Combine like terms: -1y + y = 0 -8 + 6y = 40 + 0 -8 + 6y = 40 Add '8' to each side of the equation. -8 + 8 + 6y = 40 + 8 Combine like terms: -8 + 8 = 0 0 + 6y = 40 + 8 6y = 40 + 8 Combine like terms: 40 + 8 = 48 6y = 48 Divide each side by '6'. y = 8 Simplifying y = 8
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