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Simplifying (7y + 6) + -1(5y + -2) = 0 Reorder the terms: (6 + 7y) + -1(5y + -2) = 0 Remove parenthesis around (6 + 7y) 6 + 7y + -1(5y + -2) = 0 Reorder the terms: 6 + 7y + -1(-2 + 5y) = 0 6 + 7y + (-2 * -1 + 5y * -1) = 0 6 + 7y + (2 + -5y) = 0 Reorder the terms: 6 + 2 + 7y + -5y = 0 Combine like terms: 6 + 2 = 8 8 + 7y + -5y = 0 Combine like terms: 7y + -5y = 2y 8 + 2y = 0 Solving 8 + 2y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 2y = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 2y = 0 + -8 2y = 0 + -8 Combine like terms: 0 + -8 = -8 2y = -8 Divide each side by '2'. y = -4 Simplifying y = -4
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