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Simplifying y + 2x = 4 + -3y + 8x + 2 Reorder the terms: 2x + y = 4 + -3y + 8x + 2 Reorder the terms: 2x + y = 4 + 2 + 8x + -3y Combine like terms: 4 + 2 = 6 2x + y = 6 + 8x + -3y Solving 2x + y = 6 + 8x + -3y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 2x + -8x + y = 6 + 8x + -8x + -3y Combine like terms: 2x + -8x = -6x -6x + y = 6 + 8x + -8x + -3y Combine like terms: 8x + -8x = 0 -6x + y = 6 + 0 + -3y -6x + y = 6 + -3y Add '-1y' to each side of the equation. -6x + y + -1y = 6 + -3y + -1y Combine like terms: y + -1y = 0 -6x + 0 = 6 + -3y + -1y -6x = 6 + -3y + -1y Combine like terms: -3y + -1y = -4y -6x = 6 + -4y Divide each side by '-6'. x = -1 + 0.6666666667y Simplifying x = -1 + 0.6666666667y
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