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