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Simplifying 6(y + -1) + 8k = -34 Reorder the terms: 6(-1 + y) + 8k = -34 (-1 * 6 + y * 6) + 8k = -34 (-6 + 6y) + 8k = -34 Reorder the terms: -6 + 8k + 6y = -34 Solving -6 + 8k + 6y = -34 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 + 8k + 6 + 6y = -34 + 6 Reorder the terms: -6 + 6 + 8k + 6y = -34 + 6 Combine like terms: -6 + 6 = 0 0 + 8k + 6y = -34 + 6 8k + 6y = -34 + 6 Combine like terms: -34 + 6 = -28 8k + 6y = -28 Add '-6y' to each side of the equation. 8k + 6y + -6y = -28 + -6y Combine like terms: 6y + -6y = 0 8k + 0 = -28 + -6y 8k = -28 + -6y Divide each side by '8'. k = -3.5 + -0.75y Simplifying k = -3.5 + -0.75y
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