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Simplifying 5(y + 3) + 2(8 + -3y) = -3 Reorder the terms: 5(3 + y) + 2(8 + -3y) = -3 (3 * 5 + y * 5) + 2(8 + -3y) = -3 (15 + 5y) + 2(8 + -3y) = -3 15 + 5y + (8 * 2 + -3y * 2) = -3 15 + 5y + (16 + -6y) = -3 Reorder the terms: 15 + 16 + 5y + -6y = -3 Combine like terms: 15 + 16 = 31 31 + 5y + -6y = -3 Combine like terms: 5y + -6y = -1y 31 + -1y = -3 Solving 31 + -1y = -3 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + -1y = -3 + -31 Combine like terms: 31 + -31 = 0 0 + -1y = -3 + -31 -1y = -3 + -31 Combine like terms: -3 + -31 = -34 -1y = -34 Divide each side by '-1'. y = 34 Simplifying y = 34
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