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Simplifying (7y + 8) + -1(3 + 6y) = 6 Reorder the terms: (8 + 7y) + -1(3 + 6y) = 6 Remove parenthesis around (8 + 7y) 8 + 7y + -1(3 + 6y) = 6 8 + 7y + (3 * -1 + 6y * -1) = 6 8 + 7y + (-3 + -6y) = 6 Reorder the terms: 8 + -3 + 7y + -6y = 6 Combine like terms: 8 + -3 = 5 5 + 7y + -6y = 6 Combine like terms: 7y + -6y = 1y 5 + 1y = 6 Solving 5 + 1y = 6 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 + 1y = 6 + -5 Combine like terms: 5 + -5 = 0 0 + 1y = 6 + -5 1y = 6 + -5 Combine like terms: 6 + -5 = 1 1y = 1 Divide each side by '1'. y = 1 Simplifying y = 1
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