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Simplifying 5y + 3(9 + -1y) = 43 5y + (9 * 3 + -1y * 3) = 43 5y + (27 + -3y) = 43 Reorder the terms: 27 + 5y + -3y = 43 Combine like terms: 5y + -3y = 2y 27 + 2y = 43 Solving 27 + 2y = 43 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 2y = 43 + -27 Combine like terms: 27 + -27 = 0 0 + 2y = 43 + -27 2y = 43 + -27 Combine like terms: 43 + -27 = 16 2y = 16 Divide each side by '2'. y = 8 Simplifying y = 8
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