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Simplifying (7y + 6) + -1(3 + 6y) = 9 Reorder the terms: (6 + 7y) + -1(3 + 6y) = 9 Remove parenthesis around (6 + 7y) 6 + 7y + -1(3 + 6y) = 9 6 + 7y + (3 * -1 + 6y * -1) = 9 6 + 7y + (-3 + -6y) = 9 Reorder the terms: 6 + -3 + 7y + -6y = 9 Combine like terms: 6 + -3 = 3 3 + 7y + -6y = 9 Combine like terms: 7y + -6y = 1y 3 + 1y = 9 Solving 3 + 1y = 9 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 = 9 + -3 Combine like terms: 3 + -3 = 0 0 + 1y = 9 + -3 1y = 9 + -3 Combine like terms: 9 + -3 = 6 1y = 6 Divide each side by '1'. y = 6 Simplifying y = 6
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