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Simplifying -6 + -3(2k + y) = 18 -6 + (2k * -3 + y * -3) = 18 -6 + (-6k + -3y) = 18 Solving -6 + -6k + -3y = 18 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6' to each side of the equation. -6 + -6k + 6 + -3y = 18 + 6 Reorder the terms: -6 + 6 + -6k + -3y = 18 + 6 Combine like terms: -6 + 6 = 0 0 + -6k + -3y = 18 + 6 -6k + -3y = 18 + 6 Combine like terms: 18 + 6 = 24 -6k + -3y = 24 Add '3y' to each side of the equation. -6k + -3y + 3y = 24 + 3y Combine like terms: -3y + 3y = 0 -6k + 0 = 24 + 3y -6k = 24 + 3y Divide each side by '-6'. k = -4 + -0.5y Simplifying k = -4 + -0.5y
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