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Simplifying 3(4 + y) + 5(1 + 2y) = 0 (4 * 3 + y * 3) + 5(1 + 2y) = 0 (12 + 3y) + 5(1 + 2y) = 0 12 + 3y + (1 * 5 + 2y * 5) = 0 12 + 3y + (5 + 10y) = 0 Reorder the terms: 12 + 5 + 3y + 10y = 0 Combine like terms: 12 + 5 = 17 17 + 3y + 10y = 0 Combine like terms: 3y + 10y = 13y 17 + 13y = 0 Solving 17 + 13y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 13y = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 13y = 0 + -17 13y = 0 + -17 Combine like terms: 0 + -17 = -17 13y = -17 Divide each side by '13'. y = -1.307692308 Simplifying y = -1.307692308
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