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Simplifying 5y + -2(4k + 5) = 0 Reorder the terms: 5y + -2(5 + 4k) = 0 5y + (5 * -2 + 4k * -2) = 0 5y + (-10 + -8k) = 0 Reorder the terms: -10 + -8k + 5y = 0 Solving -10 + -8k + 5y = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '10' to each side of the equation. -10 + -8k + 10 + 5y = 0 + 10 Reorder the terms: -10 + 10 + -8k + 5y = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -8k + 5y = 0 + 10 -8k + 5y = 0 + 10 Combine like terms: 0 + 10 = 10 -8k + 5y = 10 Add '-5y' to each side of the equation. -8k + 5y + -5y = 10 + -5y Combine like terms: 5y + -5y = 0 -8k + 0 = 10 + -5y -8k = 10 + -5y Divide each side by '-8'. k = -1.25 + 0.625y Simplifying k = -1.25 + 0.625y
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