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Simplifying 3n + 5(2 + -1y) = 22 3n + (2 * 5 + -1y * 5) = 22 3n + (10 + -5y) = 22 Reorder the terms: 10 + 3n + -5y = 22 Solving 10 + 3n + -5y = 22 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 3n + -10 + -5y = 22 + -10 Reorder the terms: 10 + -10 + 3n + -5y = 22 + -10 Combine like terms: 10 + -10 = 0 0 + 3n + -5y = 22 + -10 3n + -5y = 22 + -10 Combine like terms: 22 + -10 = 12 3n + -5y = 12 Add '5y' to each side of the equation. 3n + -5y + 5y = 12 + 5y Combine like terms: -5y + 5y = 0 3n + 0 = 12 + 5y 3n = 12 + 5y Divide each side by '3'. n = 4 + 1.666666667y Simplifying n = 4 + 1.666666667y
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