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Simplifying 8y + -2x = 10 + 4x + -6y Reorder the terms: -2x + 8y = 10 + 4x + -6y Solving -2x + 8y = 10 + 4x + -6y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -2x + -4x + 8y = 10 + 4x + -4x + -6y Combine like terms: -2x + -4x = -6x -6x + 8y = 10 + 4x + -4x + -6y Combine like terms: 4x + -4x = 0 -6x + 8y = 10 + 0 + -6y -6x + 8y = 10 + -6y Add '-8y' to each side of the equation. -6x + 8y + -8y = 10 + -6y + -8y Combine like terms: 8y + -8y = 0 -6x + 0 = 10 + -6y + -8y -6x = 10 + -6y + -8y Combine like terms: -6y + -8y = -14y -6x = 10 + -14y Divide each side by '-6'. x = -1.666666667 + 2.333333333y Simplifying x = -1.666666667 + 2.333333333y
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