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Simplifying -5.7(2y + 5) + -2.7(4y + -6) = 0 Reorder the terms: -5.7(5 + 2y) + -2.7(4y + -6) = 0 (5 * -5.7 + 2y * -5.7) + -2.7(4y + -6) = 0 (-28.5 + -11.4y) + -2.7(4y + -6) = 0 Reorder the terms: -28.5 + -11.4y + -2.7(-6 + 4y) = 0 -28.5 + -11.4y + (-6 * -2.7 + 4y * -2.7) = 0 -28.5 + -11.4y + (16.2 + -10.8y) = 0 Reorder the terms: -28.5 + 16.2 + -11.4y + -10.8y = 0 Combine like terms: -28.5 + 16.2 = -12.3 -12.3 + -11.4y + -10.8y = 0 Combine like terms: -11.4y + -10.8y = -22.2y -12.3 + -22.2y = 0 Solving -12.3 + -22.2y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '12.3' to each side of the equation. -12.3 + 12.3 + -22.2y = 0 + 12.3 Combine like terms: -12.3 + 12.3 = 0.0 0.0 + -22.2y = 0 + 12.3 -22.2y = 0 + 12.3 Combine like terms: 0 + 12.3 = 12.3 -22.2y = 12.3 Divide each side by '-22.2'. y = -0.5540540541 Simplifying y = -0.5540540541
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