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Simplifying (5y + 4) + -1(3 + 4y) = 8 Reorder the terms: (4 + 5y) + -1(3 + 4y) = 8 Remove parenthesis around (4 + 5y) 4 + 5y + -1(3 + 4y) = 8 4 + 5y + (3 * -1 + 4y * -1) = 8 4 + 5y + (-3 + -4y) = 8 Reorder the terms: 4 + -3 + 5y + -4y = 8 Combine like terms: 4 + -3 = 1 1 + 5y + -4y = 8 Combine like terms: 5y + -4y = 1y 1 + 1y = 8 Solving 1 + 1y = 8 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 1y = 8 + -1 Combine like terms: 1 + -1 = 0 0 + 1y = 8 + -1 1y = 8 + -1 Combine like terms: 8 + -1 = 7 1y = 7 Divide each side by '1'. y = 7 Simplifying y = 7
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