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Simplifying (7y + 8) + -1(2 + 6y) = 11 Reorder the terms: (8 + 7y) + -1(2 + 6y) = 11 Remove parenthesis around (8 + 7y) 8 + 7y + -1(2 + 6y) = 11 8 + 7y + (2 * -1 + 6y * -1) = 11 8 + 7y + (-2 + -6y) = 11 Reorder the terms: 8 + -2 + 7y + -6y = 11 Combine like terms: 8 + -2 = 6 6 + 7y + -6y = 11 Combine like terms: 7y + -6y = 1y 6 + 1y = 11 Solving 6 + 1y = 11 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 = 11 + -6 Combine like terms: 6 + -6 = 0 0 + 1y = 11 + -6 1y = 11 + -6 Combine like terms: 11 + -6 = 5 1y = 5 Divide each side by '1'. y = 5 Simplifying y = 5
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