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Simplifying 6(14.75 + 0.75y) + y + -4 = 14.75 + 0.75y + -9y + 1 (14.75 * 6 + 0.75y * 6) + y + -4 = 14.75 + 0.75y + -9y + 1 (88.5 + 4.5y) + y + -4 = 14.75 + 0.75y + -9y + 1 Reorder the terms: 88.5 + -4 + 4.5y + y = 14.75 + 0.75y + -9y + 1 Combine like terms: 88.5 + -4 = 84.5 84.5 + 4.5y + y = 14.75 + 0.75y + -9y + 1 Combine like terms: 4.5y + y = 5.5y 84.5 + 5.5y = 14.75 + 0.75y + -9y + 1 Reorder the terms: 84.5 + 5.5y = 14.75 + 1 + 0.75y + -9y Combine like terms: 14.75 + 1 = 15.75 84.5 + 5.5y = 15.75 + 0.75y + -9y Combine like terms: 0.75y + -9y = -8.25y 84.5 + 5.5y = 15.75 + -8.25y Solving 84.5 + 5.5y = 15.75 + -8.25y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8.25y' to each side of the equation. 84.5 + 5.5y + 8.25y = 15.75 + -8.25y + 8.25y Combine like terms: 5.5y + 8.25y = 13.75y 84.5 + 13.75y = 15.75 + -8.25y + 8.25y Combine like terms: -8.25y + 8.25y = 0.00 84.5 + 13.75y = 15.75 + 0.00 84.5 + 13.75y = 15.75 Add '-84.5' to each side of the equation. 84.5 + -84.5 + 13.75y = 15.75 + -84.5 Combine like terms: 84.5 + -84.5 = 0.0 0.0 + 13.75y = 15.75 + -84.5 13.75y = 15.75 + -84.5 Combine like terms: 15.75 + -84.5 = -68.75 13.75y = -68.75 Divide each side by '13.75'. y = -5 Simplifying y = -5
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