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Simplifying 8x + y = 12x + -1y Solving 8x + y = 12x + -1y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 8x + -12x + y = 12x + -12x + -1y Combine like terms: 8x + -12x = -4x -4x + y = 12x + -12x + -1y Combine like terms: 12x + -12x = 0 -4x + y = 0 + -1y -4x + y = -1y Add '-1y' to each side of the equation. -4x + y + -1y = -1y + -1y Combine like terms: y + -1y = 0 -4x + 0 = -1y + -1y -4x = -1y + -1y Combine like terms: -1y + -1y = -2y -4x = -2y Divide each side by '-4'. x = 0.5y Simplifying x = 0.5y
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