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Simplifying 0.4(9y + -2) + 0.8(6y + 9) = 0 Reorder the terms: 0.4(-2 + 9y) + 0.8(6y + 9) = 0 (-2 * 0.4 + 9y * 0.4) + 0.8(6y + 9) = 0 (-0.8 + 3.6y) + 0.8(6y + 9) = 0 Reorder the terms: -0.8 + 3.6y + 0.8(9 + 6y) = 0 -0.8 + 3.6y + (9 * 0.8 + 6y * 0.8) = 0 -0.8 + 3.6y + (7.2 + 4.8y) = 0 Reorder the terms: -0.8 + 7.2 + 3.6y + 4.8y = 0 Combine like terms: -0.8 + 7.2 = 6.4 6.4 + 3.6y + 4.8y = 0 Combine like terms: 3.6y + 4.8y = 8.4y 6.4 + 8.4y = 0 Solving 6.4 + 8.4y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6.4' to each side of the equation. 6.4 + -6.4 + 8.4y = 0 + -6.4 Combine like terms: 6.4 + -6.4 = 0.0 0.0 + 8.4y = 0 + -6.4 8.4y = 0 + -6.4 Combine like terms: 0 + -6.4 = -6.4 8.4y = -6.4 Divide each side by '8.4'. y = -0.7619047619 Simplifying y = -0.7619047619
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