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Simplifying 5y + 6 + -81 = 7y + 102 + 65y Reorder the terms: 6 + -81 + 5y = 7y + 102 + 65y Combine like terms: 6 + -81 = -75 -75 + 5y = 7y + 102 + 65y Reorder the terms: -75 + 5y = 102 + 7y + 65y Combine like terms: 7y + 65y = 72y -75 + 5y = 102 + 72y Solving -75 + 5y = 102 + 72y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-72y' to each side of the equation. -75 + 5y + -72y = 102 + 72y + -72y Combine like terms: 5y + -72y = -67y -75 + -67y = 102 + 72y + -72y Combine like terms: 72y + -72y = 0 -75 + -67y = 102 + 0 -75 + -67y = 102 Add '75' to each side of the equation. -75 + 75 + -67y = 102 + 75 Combine like terms: -75 + 75 = 0 0 + -67y = 102 + 75 -67y = 102 + 75 Combine like terms: 102 + 75 = 177 -67y = 177 Divide each side by '-67'. y = -2.641791045 Simplifying y = -2.641791045
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