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Simplifying y + 34k + -91y + 45 = 32 Reorder the terms: 45 + 34k + y + -91y = 32 Combine like terms: y + -91y = -90y 45 + 34k + -90y = 32 Solving 45 + 34k + -90y = 32 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + 34k + -45 + -90y = 32 + -45 Reorder the terms: 45 + -45 + 34k + -90y = 32 + -45 Combine like terms: 45 + -45 = 0 0 + 34k + -90y = 32 + -45 34k + -90y = 32 + -45 Combine like terms: 32 + -45 = -13 34k + -90y = -13 Add '90y' to each side of the equation. 34k + -90y + 90y = -13 + 90y Combine like terms: -90y + 90y = 0 34k + 0 = -13 + 90y 34k = -13 + 90y Divide each side by '34'. k = -0.3823529412 + 2.647058824y Simplifying k = -0.3823529412 + 2.647058824y
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