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Simplifying (y + -9) + -1(-5k + -7) = -8 Reorder the terms: (-9 + y) + -1(-5k + -7) = -8 Remove parenthesis around (-9 + y) -9 + y + -1(-5k + -7) = -8 Reorder the terms: -9 + y + -1(-7 + -5k) = -8 -9 + y + (-7 * -1 + -5k * -1) = -8 -9 + y + (7 + 5k) = -8 Reorder the terms: -9 + 7 + 5k + y = -8 Combine like terms: -9 + 7 = -2 -2 + 5k + y = -8 Solving -2 + 5k + y = -8 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 5k + 2 + y = -8 + 2 Reorder the terms: -2 + 2 + 5k + y = -8 + 2 Combine like terms: -2 + 2 = 0 0 + 5k + y = -8 + 2 5k + y = -8 + 2 Combine like terms: -8 + 2 = -6 5k + y = -6 Add '-1y' to each side of the equation. 5k + y + -1y = -6 + -1y Combine like terms: y + -1y = 0 5k + 0 = -6 + -1y 5k = -6 + -1y Divide each side by '5'. k = -1.2 + -0.2y Simplifying k = -1.2 + -0.2y
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