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Simplifying 5.1(3y + 5) + -2.4(4y + -6) = 0 Reorder the terms: 5.1(5 + 3y) + -2.4(4y + -6) = 0 (5 * 5.1 + 3y * 5.1) + -2.4(4y + -6) = 0 (25.5 + 15.3y) + -2.4(4y + -6) = 0 Reorder the terms: 25.5 + 15.3y + -2.4(-6 + 4y) = 0 25.5 + 15.3y + (-6 * -2.4 + 4y * -2.4) = 0 25.5 + 15.3y + (14.4 + -9.6y) = 0 Reorder the terms: 25.5 + 14.4 + 15.3y + -9.6y = 0 Combine like terms: 25.5 + 14.4 = 39.9 39.9 + 15.3y + -9.6y = 0 Combine like terms: 15.3y + -9.6y = 5.7y 39.9 + 5.7y = 0 Solving 39.9 + 5.7y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-39.9' to each side of the equation. 39.9 + -39.9 + 5.7y = 0 + -39.9 Combine like terms: 39.9 + -39.9 = 0.0 0.0 + 5.7y = 0 + -39.9 5.7y = 0 + -39.9 Combine like terms: 0 + -39.9 = -39.9 5.7y = -39.9 Divide each side by '5.7'. y = -7 Simplifying y = -7
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