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Simplifying 5(91 + -0.5y) + y = 398 (91 * 5 + -0.5y * 5) + y = 398 (455 + -2.5y) + y = 398 Combine like terms: -2.5y + y = -1.5y 455 + -1.5y = 398 Solving 455 + -1.5y = 398 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-455' to each side of the equation. 455 + -455 + -1.5y = 398 + -455 Combine like terms: 455 + -455 = 0 0 + -1.5y = 398 + -455 -1.5y = 398 + -455 Combine like terms: 398 + -455 = -57 -1.5y = -57 Divide each side by '-1.5'. y = 38 Simplifying y = 38
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