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Simplifying 2y + 3xy + -8 = 5y + 6 Reorder the terms: -8 + 3xy + 2y = 5y + 6 Reorder the terms: -8 + 3xy + 2y = 6 + 5y Solving -8 + 3xy + 2y = 6 + 5y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 3xy + 8 + 2y = 6 + 8 + 5y Reorder the terms: -8 + 8 + 3xy + 2y = 6 + 8 + 5y Combine like terms: -8 + 8 = 0 0 + 3xy + 2y = 6 + 8 + 5y 3xy + 2y = 6 + 8 + 5y Combine like terms: 6 + 8 = 14 3xy + 2y = 14 + 5y Add '-2y' to each side of the equation. 3xy + 2y + -2y = 14 + 5y + -2y Combine like terms: 2y + -2y = 0 3xy + 0 = 14 + 5y + -2y 3xy = 14 + 5y + -2y Combine like terms: 5y + -2y = 3y 3xy = 14 + 3y Divide each side by '3y'. x = 4.666666667y-1 + 1 Simplifying x = 4.666666667y-1 + 1 Reorder the terms: x = 1 + 4.666666667y-1
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