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Simplifying (4y + 8) + -1(5 + 3y) = 5 Reorder the terms: (8 + 4y) + -1(5 + 3y) = 5 Remove parenthesis around (8 + 4y) 8 + 4y + -1(5 + 3y) = 5 8 + 4y + (5 * -1 + 3y * -1) = 5 8 + 4y + (-5 + -3y) = 5 Reorder the terms: 8 + -5 + 4y + -3y = 5 Combine like terms: 8 + -5 = 3 3 + 4y + -3y = 5 Combine like terms: 4y + -3y = 1y 3 + 1y = 5 Solving 3 + 1y = 5 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 = 5 + -3 Combine like terms: 3 + -3 = 0 0 + 1y = 5 + -3 1y = 5 + -3 Combine like terms: 5 + -3 = 2 1y = 2 Divide each side by '1'. y = 2 Simplifying y = 2
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