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Simplifying (6y + 7) + -1(5 + 5y) = 7 Reorder the terms: (7 + 6y) + -1(5 + 5y) = 7 Remove parenthesis around (7 + 6y) 7 + 6y + -1(5 + 5y) = 7 7 + 6y + (5 * -1 + 5y * -1) = 7 7 + 6y + (-5 + -5y) = 7 Reorder the terms: 7 + -5 + 6y + -5y = 7 Combine like terms: 7 + -5 = 2 2 + 6y + -5y = 7 Combine like terms: 6y + -5y = 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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