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Simplifying -5.7(3y + 6) + -2.5(2y + -5) = 0 Reorder the terms: -5.7(6 + 3y) + -2.5(2y + -5) = 0 (6 * -5.7 + 3y * -5.7) + -2.5(2y + -5) = 0 (-34.2 + -17.1y) + -2.5(2y + -5) = 0 Reorder the terms: -34.2 + -17.1y + -2.5(-5 + 2y) = 0 -34.2 + -17.1y + (-5 * -2.5 + 2y * -2.5) = 0 -34.2 + -17.1y + (12.5 + -5y) = 0 Reorder the terms: -34.2 + 12.5 + -17.1y + -5y = 0 Combine like terms: -34.2 + 12.5 = -21.7 -21.7 + -17.1y + -5y = 0 Combine like terms: -17.1y + -5y = -22.1y -21.7 + -22.1y = 0 Solving -21.7 + -22.1y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '21.7' to each side of the equation. -21.7 + 21.7 + -22.1y = 0 + 21.7 Combine like terms: -21.7 + 21.7 = 0.0 0.0 + -22.1y = 0 + 21.7 -22.1y = 0 + 21.7 Combine like terms: 0 + 21.7 = 21.7 -22.1y = 21.7 Divide each side by '-22.1'. y = -0.9819004525 Simplifying y = -0.9819004525
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