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Simplifying (5y + 8) + -1(5 + 4y) = 6 Reorder the terms: (8 + 5y) + -1(5 + 4y) = 6 Remove parenthesis around (8 + 5y) 8 + 5y + -1(5 + 4y) = 6 8 + 5y + (5 * -1 + 4y * -1) = 6 8 + 5y + (-5 + -4y) = 6 Reorder the terms: 8 + -5 + 5y + -4y = 6 Combine like terms: 8 + -5 = 3 3 + 5y + -4y = 6 Combine like terms: 5y + -4y = 1y 3 + 1y = 6 Solving 3 + 1y = 6 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 1y = 6 + -3 Combine like terms: 3 + -3 = 0 0 + 1y = 6 + -3 1y = 6 + -3 Combine like terms: 6 + -3 = 3 1y = 3 Divide each side by '1'. y = 3 Simplifying y = 3
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