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Simplifying 3x + y = 10y + -3x + 4 Reorder the terms: 3x + y = 4 + -3x + 10y Solving 3x + y = 4 + -3x + 10y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 3x + 3x + y = 4 + -3x + 3x + 10y Combine like terms: 3x + 3x = 6x 6x + y = 4 + -3x + 3x + 10y Combine like terms: -3x + 3x = 0 6x + y = 4 + 0 + 10y 6x + y = 4 + 10y Add '-1y' to each side of the equation. 6x + y + -1y = 4 + 10y + -1y Combine like terms: y + -1y = 0 6x + 0 = 4 + 10y + -1y 6x = 4 + 10y + -1y Combine like terms: 10y + -1y = 9y 6x = 4 + 9y Divide each side by '6'. x = 0.6666666667 + 1.5y Simplifying x = 0.6666666667 + 1.5y
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