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Simplifying (5y + 7) + -1(2y + -8) = 0 Reorder the terms: (7 + 5y) + -1(2y + -8) = 0 Remove parenthesis around (7 + 5y) 7 + 5y + -1(2y + -8) = 0 Reorder the terms: 7 + 5y + -1(-8 + 2y) = 0 7 + 5y + (-8 * -1 + 2y * -1) = 0 7 + 5y + (8 + -2y) = 0 Reorder the terms: 7 + 8 + 5y + -2y = 0 Combine like terms: 7 + 8 = 15 15 + 5y + -2y = 0 Combine like terms: 5y + -2y = 3y 15 + 3y = 0 Solving 15 + 3y = 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 + 3y = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 3y = 0 + -15 3y = 0 + -15 Combine like terms: 0 + -15 = -15 3y = -15 Divide each side by '3'. y = -5 Simplifying y = -5
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