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Simplifying y + -1 = 3y + 2 + -8y Reorder the terms: -1 + y = 3y + 2 + -8y Reorder the terms: -1 + y = 2 + 3y + -8y Combine like terms: 3y + -8y = -5y -1 + y = 2 + -5y Solving -1 + y = 2 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. -1 + y + 5y = 2 + -5y + 5y Combine like terms: y + 5y = 6y -1 + 6y = 2 + -5y + 5y Combine like terms: -5y + 5y = 0 -1 + 6y = 2 + 0 -1 + 6y = 2 Add '1' to each side of the equation. -1 + 1 + 6y = 2 + 1 Combine like terms: -1 + 1 = 0 0 + 6y = 2 + 1 6y = 2 + 1 Combine like terms: 2 + 1 = 3 6y = 3 Divide each side by '6'. y = 0.5 Simplifying y = 0.5
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