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Simplifying 4(y + 2) + 3(y + 5) = 0 Reorder the terms: 4(2 + y) + 3(y + 5) = 0 (2 * 4 + y * 4) + 3(y + 5) = 0 (8 + 4y) + 3(y + 5) = 0 Reorder the terms: 8 + 4y + 3(5 + y) = 0 8 + 4y + (5 * 3 + y * 3) = 0 8 + 4y + (15 + 3y) = 0 Reorder the terms: 8 + 15 + 4y + 3y = 0 Combine like terms: 8 + 15 = 23 23 + 4y + 3y = 0 Combine like terms: 4y + 3y = 7y 23 + 7y = 0 Solving 23 + 7y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 7y = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 7y = 0 + -23 7y = 0 + -23 Combine like terms: 0 + -23 = -23 7y = -23 Divide each side by '7'. y = -3.285714286 Simplifying y = -3.285714286
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