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Simplifying -5.7(3y + 5) + -1.8(2y + -6) = 0 Reorder the terms: -5.7(5 + 3y) + -1.8(2y + -6) = 0 (5 * -5.7 + 3y * -5.7) + -1.8(2y + -6) = 0 (-28.5 + -17.1y) + -1.8(2y + -6) = 0 Reorder the terms: -28.5 + -17.1y + -1.8(-6 + 2y) = 0 -28.5 + -17.1y + (-6 * -1.8 + 2y * -1.8) = 0 -28.5 + -17.1y + (10.8 + -3.6y) = 0 Reorder the terms: -28.5 + 10.8 + -17.1y + -3.6y = 0 Combine like terms: -28.5 + 10.8 = -17.7 -17.7 + -17.1y + -3.6y = 0 Combine like terms: -17.1y + -3.6y = -20.7y -17.7 + -20.7y = 0 Solving -17.7 + -20.7y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '17.7' to each side of the equation. -17.7 + 17.7 + -20.7y = 0 + 17.7 Combine like terms: -17.7 + 17.7 = 0.0 0.0 + -20.7y = 0 + 17.7 -20.7y = 0 + 17.7 Combine like terms: 0 + 17.7 = 17.7 -20.7y = 17.7 Divide each side by '-20.7'. y = -0.8550724638 Simplifying y = -0.8550724638
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