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