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Simplifying (5y + 8) + -1(4 + 4y) = 11 Reorder the terms: (8 + 5y) + -1(4 + 4y) = 11 Remove parenthesis around (8 + 5y) 8 + 5y + -1(4 + 4y) = 11 8 + 5y + (4 * -1 + 4y * -1) = 11 8 + 5y + (-4 + -4y) = 11 Reorder the terms: 8 + -4 + 5y + -4y = 11 Combine like terms: 8 + -4 = 4 4 + 5y + -4y = 11 Combine like terms: 5y + -4y = 1y 4 + 1y = 11 Solving 4 + 1y = 11 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 = 11 + -4 Combine like terms: 4 + -4 = 0 0 + 1y = 11 + -4 1y = 11 + -4 Combine like terms: 11 + -4 = 7 1y = 7 Divide each side by '1'. y = 7 Simplifying y = 7
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