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Simplifying (7y + 5) + -1(2 + 6y) = 8 Reorder the terms: (5 + 7y) + -1(2 + 6y) = 8 Remove parenthesis around (5 + 7y) 5 + 7y + -1(2 + 6y) = 8 5 + 7y + (2 * -1 + 6y * -1) = 8 5 + 7y + (-2 + -6y) = 8 Reorder the terms: 5 + -2 + 7y + -6y = 8 Combine like terms: 5 + -2 = 3 3 + 7y + -6y = 8 Combine like terms: 7y + -6y = 1y 3 + 1y = 8 Solving 3 + 1y = 8 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 1y = 8 + -3 Combine like terms: 3 + -3 = 0 0 + 1y = 8 + -3 1y = 8 + -3 Combine like terms: 8 + -3 = 5 1y = 5 Divide each side by '1'. y = 5 Simplifying y = 5
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