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