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Simplifying (7y + 7) + -1(2 + 6y) = 9 Reorder the terms: (7 + 7y) + -1(2 + 6y) = 9 Remove parenthesis around (7 + 7y) 7 + 7y + -1(2 + 6y) = 9 7 + 7y + (2 * -1 + 6y * -1) = 9 7 + 7y + (-2 + -6y) = 9 Reorder the terms: 7 + -2 + 7y + -6y = 9 Combine like terms: 7 + -2 = 5 5 + 7y + -6y = 9 Combine like terms: 7y + -6y = 1y 5 + 1y = 9 Solving 5 + 1y = 9 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 1y = 9 + -5 Combine like terms: 5 + -5 = 0 0 + 1y = 9 + -5 1y = 9 + -5 Combine like terms: 9 + -5 = 4 1y = 4 Divide each side by '1'. y = 4 Simplifying y = 4
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