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Simplifying 5y + 6y + -81 = 7y + 102 + 65 Reorder the terms: -81 + 5y + 6y = 7y + 102 + 65 Combine like terms: 5y + 6y = 11y -81 + 11y = 7y + 102 + 65 Reorder the terms: -81 + 11y = 102 + 65 + 7y Combine like terms: 102 + 65 = 167 -81 + 11y = 167 + 7y Solving -81 + 11y = 167 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. -81 + 11y + -7y = 167 + 7y + -7y Combine like terms: 11y + -7y = 4y -81 + 4y = 167 + 7y + -7y Combine like terms: 7y + -7y = 0 -81 + 4y = 167 + 0 -81 + 4y = 167 Add '81' to each side of the equation. -81 + 81 + 4y = 167 + 81 Combine like terms: -81 + 81 = 0 0 + 4y = 167 + 81 4y = 167 + 81 Combine like terms: 167 + 81 = 248 4y = 248 Divide each side by '4'. y = 62 Simplifying y = 62
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