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Simplifying (7y + 7) + -1(5 + 6y) = 6 Reorder the terms: (7 + 7y) + -1(5 + 6y) = 6 Remove parenthesis around (7 + 7y) 7 + 7y + -1(5 + 6y) = 6 7 + 7y + (5 * -1 + 6y * -1) = 6 7 + 7y + (-5 + -6y) = 6 Reorder the terms: 7 + -5 + 7y + -6y = 6 Combine like terms: 7 + -5 = 2 2 + 7y + -6y = 6 Combine like terms: 7y + -6y = 1y 2 + 1y = 6 Solving 2 + 1y = 6 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 = 6 + -2 Combine like terms: 2 + -2 = 0 0 + 1y = 6 + -2 1y = 6 + -2 Combine like terms: 6 + -2 = 4 1y = 4 Divide each side by '1'. y = 4 Simplifying y = 4
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