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Simplifying -6.4(2y + 5) + -1.5(4y + -6) = 0 Reorder the terms: -6.4(5 + 2y) + -1.5(4y + -6) = 0 (5 * -6.4 + 2y * -6.4) + -1.5(4y + -6) = 0 (-32 + -12.8y) + -1.5(4y + -6) = 0 Reorder the terms: -32 + -12.8y + -1.5(-6 + 4y) = 0 -32 + -12.8y + (-6 * -1.5 + 4y * -1.5) = 0 -32 + -12.8y + (9 + -6y) = 0 Reorder the terms: -32 + 9 + -12.8y + -6y = 0 Combine like terms: -32 + 9 = -23 -23 + -12.8y + -6y = 0 Combine like terms: -12.8y + -6y = -18.8y -23 + -18.8y = 0 Solving -23 + -18.8y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + -18.8y = 0 + 23 Combine like terms: -23 + 23 = 0 0 + -18.8y = 0 + 23 -18.8y = 0 + 23 Combine like terms: 0 + 23 = 23 -18.8y = 23 Divide each side by '-18.8'. y = -1.223404255 Simplifying y = -1.223404255
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