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Simplifying -5.6(2y + 6) + -2.4(3y + -5) = 0 Reorder the terms: -5.6(6 + 2y) + -2.4(3y + -5) = 0 (6 * -5.6 + 2y * -5.6) + -2.4(3y + -5) = 0 (-33.6 + -11.2y) + -2.4(3y + -5) = 0 Reorder the terms: -33.6 + -11.2y + -2.4(-5 + 3y) = 0 -33.6 + -11.2y + (-5 * -2.4 + 3y * -2.4) = 0 -33.6 + -11.2y + (12 + -7.2y) = 0 Reorder the terms: -33.6 + 12 + -11.2y + -7.2y = 0 Combine like terms: -33.6 + 12 = -21.6 -21.6 + -11.2y + -7.2y = 0 Combine like terms: -11.2y + -7.2y = -18.4y -21.6 + -18.4y = 0 Solving -21.6 + -18.4y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '21.6' to each side of the equation. -21.6 + 21.6 + -18.4y = 0 + 21.6 Combine like terms: -21.6 + 21.6 = 0.0 0.0 + -18.4y = 0 + 21.6 -18.4y = 0 + 21.6 Combine like terms: 0 + 21.6 = 21.6 -18.4y = 21.6 Divide each side by '-18.4'. y = -1.173913043 Simplifying y = -1.173913043
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