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Simplifying -5.5(4y + 6) + -1.1(3y + -5) = 0 Reorder the terms: -5.5(6 + 4y) + -1.1(3y + -5) = 0 (6 * -5.5 + 4y * -5.5) + -1.1(3y + -5) = 0 (-33 + -22y) + -1.1(3y + -5) = 0 Reorder the terms: -33 + -22y + -1.1(-5 + 3y) = 0 -33 + -22y + (-5 * -1.1 + 3y * -1.1) = 0 -33 + -22y + (5.5 + -3.3y) = 0 Reorder the terms: -33 + 5.5 + -22y + -3.3y = 0 Combine like terms: -33 + 5.5 = -27.5 -27.5 + -22y + -3.3y = 0 Combine like terms: -22y + -3.3y = -25.3y -27.5 + -25.3y = 0 Solving -27.5 + -25.3y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '27.5' to each side of the equation. -27.5 + 27.5 + -25.3y = 0 + 27.5 Combine like terms: -27.5 + 27.5 = 0.0 0.0 + -25.3y = 0 + 27.5 -25.3y = 0 + 27.5 Combine like terms: 0 + 27.5 = 27.5 -25.3y = 27.5 Divide each side by '-25.3'. y = -1.086956522 Simplifying y = -1.086956522
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