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Simplifying -6.4(2y + 5) + -2.3(3y + -6) = 0 Reorder the terms: -6.4(5 + 2y) + -2.3(3y + -6) = 0 (5 * -6.4 + 2y * -6.4) + -2.3(3y + -6) = 0 (-32 + -12.8y) + -2.3(3y + -6) = 0 Reorder the terms: -32 + -12.8y + -2.3(-6 + 3y) = 0 -32 + -12.8y + (-6 * -2.3 + 3y * -2.3) = 0 -32 + -12.8y + (13.8 + -6.9y) = 0 Reorder the terms: -32 + 13.8 + -12.8y + -6.9y = 0 Combine like terms: -32 + 13.8 = -18.2 -18.2 + -12.8y + -6.9y = 0 Combine like terms: -12.8y + -6.9y = -19.7y -18.2 + -19.7y = 0 Solving -18.2 + -19.7y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '18.2' to each side of the equation. -18.2 + 18.2 + -19.7y = 0 + 18.2 Combine like terms: -18.2 + 18.2 = 0.0 0.0 + -19.7y = 0 + 18.2 -19.7y = 0 + 18.2 Combine like terms: 0 + 18.2 = 18.2 -19.7y = 18.2 Divide each side by '-19.7'. y = -0.923857868 Simplifying y = -0.923857868
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