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Simplifying 18x + 6y = 12x + 9y Solving 18x + 6y = 12x + 9y 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. 18x + -12x + 6y = 12x + -12x + 9y Combine like terms: 18x + -12x = 6x 6x + 6y = 12x + -12x + 9y Combine like terms: 12x + -12x = 0 6x + 6y = 0 + 9y 6x + 6y = 9y Add '-6y' to each side of the equation. 6x + 6y + -6y = 9y + -6y Combine like terms: 6y + -6y = 0 6x + 0 = 9y + -6y 6x = 9y + -6y Combine like terms: 9y + -6y = 3y 6x = 3y Divide each side by '6'. x = 0.5y Simplifying x = 0.5y
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