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Simplifying (7y + 4) + -1(2 + 6y) = 5 Reorder the terms: (4 + 7y) + -1(2 + 6y) = 5 Remove parenthesis around (4 + 7y) 4 + 7y + -1(2 + 6y) = 5 4 + 7y + (2 * -1 + 6y * -1) = 5 4 + 7y + (-2 + -6y) = 5 Reorder the terms: 4 + -2 + 7y + -6y = 5 Combine like terms: 4 + -2 = 2 2 + 7y + -6y = 5 Combine like terms: 7y + -6y = 1y 2 + 1y = 5 Solving 2 + 1y = 5 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 = 5 + -2 Combine like terms: 2 + -2 = 0 0 + 1y = 5 + -2 1y = 5 + -2 Combine like terms: 5 + -2 = 3 1y = 3 Divide each side by '1'. y = 3 Simplifying y = 3
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