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Simplifying 3x + 4y + y + -9x + 5y = 0 Reorder the terms: 3x + -9x + 4y + y + 5y = 0 Combine like terms: 3x + -9x = -6x -6x + 4y + y + 5y = 0 Combine like terms: 4y + y = 5y -6x + 5y + 5y = 0 Combine like terms: 5y + 5y = 10y -6x + 10y = 0 Solving -6x + 10y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10y' to each side of the equation. -6x + 10y + -10y = 0 + -10y Combine like terms: 10y + -10y = 0 -6x + 0 = 0 + -10y -6x = 0 + -10y Remove the zero: -6x = -10y Divide each side by '-6'. x = 1.666666667y Simplifying x = 1.666666667y
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