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Simplifying 4x + -1y = 3(x + y) 4x + -1y = (x * 3 + y * 3) 4x + -1y = (3x + 3y) Solving 4x + -1y = 3x + 3y 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. 4x + -3x + -1y = 3x + -3x + 3y Combine like terms: 4x + -3x = 1x 1x + -1y = 3x + -3x + 3y Combine like terms: 3x + -3x = 0 1x + -1y = 0 + 3y 1x + -1y = 3y Add 'y' to each side of the equation. 1x + -1y + y = 3y + y Combine like terms: -1y + y = 0 1x + 0 = 3y + y 1x = 3y + y Combine like terms: 3y + y = 4y 1x = 4y Divide each side by '1'. x = 4y Simplifying x = 4y
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