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Simplifying -1y + -8 + 6 = 9 + 5y + 1 Reorder the terms: -8 + 6 + -1y = 9 + 5y + 1 Combine like terms: -8 + 6 = -2 -2 + -1y = 9 + 5y + 1 Reorder the terms: -2 + -1y = 9 + 1 + 5y Combine like terms: 9 + 1 = 10 -2 + -1y = 10 + 5y Solving -2 + -1y = 10 + 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. -2 + -1y + -5y = 10 + 5y + -5y Combine like terms: -1y + -5y = -6y -2 + -6y = 10 + 5y + -5y Combine like terms: 5y + -5y = 0 -2 + -6y = 10 + 0 -2 + -6y = 10 Add '2' to each side of the equation. -2 + 2 + -6y = 10 + 2 Combine like terms: -2 + 2 = 0 0 + -6y = 10 + 2 -6y = 10 + 2 Combine like terms: 10 + 2 = 12 -6y = 12 Divide each side by '-6'. y = -2 Simplifying y = -2
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