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Simplifying 5(3 + -1y) + 1 = 31 (3 * 5 + -1y * 5) + 1 = 31 (15 + -5y) + 1 = 31 Reorder the terms: 15 + 1 + -5y = 31 Combine like terms: 15 + 1 = 16 16 + -5y = 31 Solving 16 + -5y = 31 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -5y = 31 + -16 Combine like terms: 16 + -16 = 0 0 + -5y = 31 + -16 -5y = 31 + -16 Combine like terms: 31 + -16 = 15 -5y = 15 Divide each side by '-5'. y = -3 Simplifying y = -3
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