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Simplifying (5y + 2) + -1(-7y + -8) = 0 Reorder the terms: (2 + 5y) + -1(-7y + -8) = 0 Remove parenthesis around (2 + 5y) 2 + 5y + -1(-7y + -8) = 0 Reorder the terms: 2 + 5y + -1(-8 + -7y) = 0 2 + 5y + (-8 * -1 + -7y * -1) = 0 2 + 5y + (8 + 7y) = 0 Reorder the terms: 2 + 8 + 5y + 7y = 0 Combine like terms: 2 + 8 = 10 10 + 5y + 7y = 0 Combine like terms: 5y + 7y = 12y 10 + 12y = 0 Solving 10 + 12y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 12y = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 12y = 0 + -10 12y = 0 + -10 Combine like terms: 0 + -10 = -10 12y = -10 Divide each side by '12'. y = -0.8333333333 Simplifying y = -0.8333333333
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