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