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Simplifying 6.50(160 + -1y) + 3.25(160 + -1y) = 4.67(160) (160 * 6.50 + -1y * 6.50) + 3.25(160 + -1y) = 4.67(160) (1040 + -6.5y) + 3.25(160 + -1y) = 4.67(160) 1040 + -6.5y + (160 * 3.25 + -1y * 3.25) = 4.67(160) 1040 + -6.5y + (520 + -3.25y) = 4.67(160) Reorder the terms: 1040 + 520 + -6.5y + -3.25y = 4.67(160) Combine like terms: 1040 + 520 = 1560 1560 + -6.5y + -3.25y = 4.67(160) Combine like terms: -6.5y + -3.25y = -9.75y 1560 + -9.75y = 4.67(160) Multiply 4.67 * 160 1560 + -9.75y = 747.2 Solving 1560 + -9.75y = 747.2 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1560' to each side of the equation. 1560 + -1560 + -9.75y = 747.2 + -1560 Combine like terms: 1560 + -1560 = 0 0 + -9.75y = 747.2 + -1560 -9.75y = 747.2 + -1560 Combine like terms: 747.2 + -1560 = -812.8 -9.75y = -812.8 Divide each side by '-9.75'. y = 83.36410256 Simplifying y = 83.36410256
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