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Simplifying (7y + 7) + -1(3 + 6y) = 10 Reorder the terms: (7 + 7y) + -1(3 + 6y) = 10 Remove parenthesis around (7 + 7y) 7 + 7y + -1(3 + 6y) = 10 7 + 7y + (3 * -1 + 6y * -1) = 10 7 + 7y + (-3 + -6y) = 10 Reorder the terms: 7 + -3 + 7y + -6y = 10 Combine like terms: 7 + -3 = 4 4 + 7y + -6y = 10 Combine like terms: 7y + -6y = 1y 4 + 1y = 10 Solving 4 + 1y = 10 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 1y = 10 + -4 Combine like terms: 4 + -4 = 0 0 + 1y = 10 + -4 1y = 10 + -4 Combine like terms: 10 + -4 = 6 1y = 6 Divide each side by '1'. y = 6 Simplifying y = 6
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