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Simplifying 4x + -1y = 10 + -4x + 3y Solving 4x + -1y = 10 + -4x + 3y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 4x + 4x + -1y = 10 + -4x + 4x + 3y Combine like terms: 4x + 4x = 8x 8x + -1y = 10 + -4x + 4x + 3y Combine like terms: -4x + 4x = 0 8x + -1y = 10 + 0 + 3y 8x + -1y = 10 + 3y Add 'y' to each side of the equation. 8x + -1y + y = 10 + 3y + y Combine like terms: -1y + y = 0 8x + 0 = 10 + 3y + y 8x = 10 + 3y + y Combine like terms: 3y + y = 4y 8x = 10 + 4y Divide each side by '8'. x = 1.25 + 0.5y Simplifying x = 1.25 + 0.5y
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