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Simplifying 5y + 6y + -81 = 7x + 102 + 65y Reorder the terms: -81 + 5y + 6y = 7x + 102 + 65y Combine like terms: 5y + 6y = 11y -81 + 11y = 7x + 102 + 65y Reorder the terms: -81 + 11y = 102 + 7x + 65y Solving -81 + 11y = 102 + 7x + 65y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-65y' to each side of the equation. -81 + 11y + -65y = 102 + 7x + 65y + -65y Combine like terms: 11y + -65y = -54y -81 + -54y = 102 + 7x + 65y + -65y Combine like terms: 65y + -65y = 0 -81 + -54y = 102 + 7x + 0 -81 + -54y = 102 + 7x Add '81' to each side of the equation. -81 + 81 + -54y = 102 + 81 + 7x Combine like terms: -81 + 81 = 0 0 + -54y = 102 + 81 + 7x -54y = 102 + 81 + 7x Combine like terms: 102 + 81 = 183 -54y = 183 + 7x Divide each side by '-54'. y = -3.388888889 + -0.1296296296x Simplifying y = -3.388888889 + -0.1296296296x
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