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Simplifying -6.9(4y + 6) + -1.3(3y + -5) = 0 Reorder the terms: -6.9(6 + 4y) + -1.3(3y + -5) = 0 (6 * -6.9 + 4y * -6.9) + -1.3(3y + -5) = 0 (-41.4 + -27.6y) + -1.3(3y + -5) = 0 Reorder the terms: -41.4 + -27.6y + -1.3(-5 + 3y) = 0 -41.4 + -27.6y + (-5 * -1.3 + 3y * -1.3) = 0 -41.4 + -27.6y + (6.5 + -3.9y) = 0 Reorder the terms: -41.4 + 6.5 + -27.6y + -3.9y = 0 Combine like terms: -41.4 + 6.5 = -34.9 -34.9 + -27.6y + -3.9y = 0 Combine like terms: -27.6y + -3.9y = -31.5y -34.9 + -31.5y = 0 Solving -34.9 + -31.5y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '34.9' to each side of the equation. -34.9 + 34.9 + -31.5y = 0 + 34.9 Combine like terms: -34.9 + 34.9 = 0.0 0.0 + -31.5y = 0 + 34.9 -31.5y = 0 + 34.9 Combine like terms: 0 + 34.9 = 34.9 -31.5y = 34.9 Divide each side by '-31.5'. y = -1.107936508 Simplifying y = -1.107936508
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