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Simplifying (7y + 4) + -1(2 + 6y) = 11 Reorder the terms: (4 + 7y) + -1(2 + 6y) = 11 Remove parenthesis around (4 + 7y) 4 + 7y + -1(2 + 6y) = 11 4 + 7y + (2 * -1 + 6y * -1) = 11 4 + 7y + (-2 + -6y) = 11 Reorder the terms: 4 + -2 + 7y + -6y = 11 Combine like terms: 4 + -2 = 2 2 + 7y + -6y = 11 Combine like terms: 7y + -6y = 1y 2 + 1y = 11 Solving 2 + 1y = 11 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 = 11 + -2 Combine like terms: 2 + -2 = 0 0 + 1y = 11 + -2 1y = 11 + -2 Combine like terms: 11 + -2 = 9 1y = 9 Divide each side by '1'. y = 9 Simplifying y = 9
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