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Simplifying 5.9(2y + 4) + -1.3(3y + -6) = 0 Reorder the terms: 5.9(4 + 2y) + -1.3(3y + -6) = 0 (4 * 5.9 + 2y * 5.9) + -1.3(3y + -6) = 0 (23.6 + 11.8y) + -1.3(3y + -6) = 0 Reorder the terms: 23.6 + 11.8y + -1.3(-6 + 3y) = 0 23.6 + 11.8y + (-6 * -1.3 + 3y * -1.3) = 0 23.6 + 11.8y + (7.8 + -3.9y) = 0 Reorder the terms: 23.6 + 7.8 + 11.8y + -3.9y = 0 Combine like terms: 23.6 + 7.8 = 31.4 31.4 + 11.8y + -3.9y = 0 Combine like terms: 11.8y + -3.9y = 7.9y 31.4 + 7.9y = 0 Solving 31.4 + 7.9y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-31.4' to each side of the equation. 31.4 + -31.4 + 7.9y = 0 + -31.4 Combine like terms: 31.4 + -31.4 = 0.0 0.0 + 7.9y = 0 + -31.4 7.9y = 0 + -31.4 Combine like terms: 0 + -31.4 = -31.4 7.9y = -31.4 Divide each side by '7.9'. y = -3.974683544 Simplifying y = -3.974683544
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