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Simplifying (7y + 9) + -1(5y + -6) = 0 Reorder the terms: (9 + 7y) + -1(5y + -6) = 0 Remove parenthesis around (9 + 7y) 9 + 7y + -1(5y + -6) = 0 Reorder the terms: 9 + 7y + -1(-6 + 5y) = 0 9 + 7y + (-6 * -1 + 5y * -1) = 0 9 + 7y + (6 + -5y) = 0 Reorder the terms: 9 + 6 + 7y + -5y = 0 Combine like terms: 9 + 6 = 15 15 + 7y + -5y = 0 Combine like terms: 7y + -5y = 2y 15 + 2y = 0 Solving 15 + 2y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 2y = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 2y = 0 + -15 2y = 0 + -15 Combine like terms: 0 + -15 = -15 2y = -15 Divide each side by '2'. y = -7.5 Simplifying y = -7.5
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