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Simplifying -5.5(2y + 6) + -1.7(3y + -5) = 0 Reorder the terms: -5.5(6 + 2y) + -1.7(3y + -5) = 0 (6 * -5.5 + 2y * -5.5) + -1.7(3y + -5) = 0 (-33 + -11y) + -1.7(3y + -5) = 0 Reorder the terms: -33 + -11y + -1.7(-5 + 3y) = 0 -33 + -11y + (-5 * -1.7 + 3y * -1.7) = 0 -33 + -11y + (8.5 + -5.1y) = 0 Reorder the terms: -33 + 8.5 + -11y + -5.1y = 0 Combine like terms: -33 + 8.5 = -24.5 -24.5 + -11y + -5.1y = 0 Combine like terms: -11y + -5.1y = -16.1y -24.5 + -16.1y = 0 Solving -24.5 + -16.1y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '24.5' to each side of the equation. -24.5 + 24.5 + -16.1y = 0 + 24.5 Combine like terms: -24.5 + 24.5 = 0.0 0.0 + -16.1y = 0 + 24.5 -16.1y = 0 + 24.5 Combine like terms: 0 + 24.5 = 24.5 -16.1y = 24.5 Divide each side by '-16.1'. y = -1.52173913 Simplifying y = -1.52173913
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