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Simplifying (6y + 7) + -1(2 + 5y) = 12 Reorder the terms: (7 + 6y) + -1(2 + 5y) = 12 Remove parenthesis around (7 + 6y) 7 + 6y + -1(2 + 5y) = 12 7 + 6y + (2 * -1 + 5y * -1) = 12 7 + 6y + (-2 + -5y) = 12 Reorder the terms: 7 + -2 + 6y + -5y = 12 Combine like terms: 7 + -2 = 5 5 + 6y + -5y = 12 Combine like terms: 6y + -5y = 1y 5 + 1y = 12 Solving 5 + 1y = 12 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 = 12 + -5 Combine like terms: 5 + -5 = 0 0 + 1y = 12 + -5 1y = 12 + -5 Combine like terms: 12 + -5 = 7 1y = 7 Divide each side by '1'. y = 7 Simplifying y = 7
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