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Simplifying -6.7(3y + 5) + -2.6(2y + -6) = 0 Reorder the terms: -6.7(5 + 3y) + -2.6(2y + -6) = 0 (5 * -6.7 + 3y * -6.7) + -2.6(2y + -6) = 0 (-33.5 + -20.1y) + -2.6(2y + -6) = 0 Reorder the terms: -33.5 + -20.1y + -2.6(-6 + 2y) = 0 -33.5 + -20.1y + (-6 * -2.6 + 2y * -2.6) = 0 -33.5 + -20.1y + (15.6 + -5.2y) = 0 Reorder the terms: -33.5 + 15.6 + -20.1y + -5.2y = 0 Combine like terms: -33.5 + 15.6 = -17.9 -17.9 + -20.1y + -5.2y = 0 Combine like terms: -20.1y + -5.2y = -25.3y -17.9 + -25.3y = 0 Solving -17.9 + -25.3y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '17.9' to each side of the equation. -17.9 + 17.9 + -25.3y = 0 + 17.9 Combine like terms: -17.9 + 17.9 = 0.0 0.0 + -25.3y = 0 + 17.9 -25.3y = 0 + 17.9 Combine like terms: 0 + 17.9 = 17.9 -25.3y = 17.9 Divide each side by '-25.3'. y = -0.7075098814 Simplifying y = -0.7075098814
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