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Simplifying (7y + 8) + -1(3 + -6y) = 12 Reorder the terms: (8 + 7y) + -1(3 + -6y) = 12 Remove parenthesis around (8 + 7y) 8 + 7y + -1(3 + -6y) = 12 8 + 7y + (3 * -1 + -6y * -1) = 12 8 + 7y + (-3 + 6y) = 12 Reorder the terms: 8 + -3 + 7y + 6y = 12 Combine like terms: 8 + -3 = 5 5 + 7y + 6y = 12 Combine like terms: 7y + 6y = 13y 5 + 13y = 12 Solving 5 + 13y = 12 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 13y = 12 + -5 Combine like terms: 5 + -5 = 0 0 + 13y = 12 + -5 13y = 12 + -5 Combine like terms: 12 + -5 = 7 13y = 7 Divide each side by '13'. y = 0.5384615385 Simplifying y = 0.5384615385
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