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Simplifying (6y + 8) + -1(3 + 5y) = 7 Reorder the terms: (8 + 6y) + -1(3 + 5y) = 7 Remove parenthesis around (8 + 6y) 8 + 6y + -1(3 + 5y) = 7 8 + 6y + (3 * -1 + 5y * -1) = 7 8 + 6y + (-3 + -5y) = 7 Reorder the terms: 8 + -3 + 6y + -5y = 7 Combine like terms: 8 + -3 = 5 5 + 6y + -5y = 7 Combine like terms: 6y + -5y = 1y 5 + 1y = 7 Solving 5 + 1y = 7 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 = 7 + -5 Combine like terms: 5 + -5 = 0 0 + 1y = 7 + -5 1y = 7 + -5 Combine like terms: 7 + -5 = 2 1y = 2 Divide each side by '1'. y = 2 Simplifying y = 2
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