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