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Simplifying 10x + y = 4(x + y) 10x + y = (x * 4 + y * 4) 10x + y = (4x + 4y) Solving 10x + y = 4x + 4y 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. 10x + -4x + y = 4x + -4x + 4y Combine like terms: 10x + -4x = 6x 6x + y = 4x + -4x + 4y Combine like terms: 4x + -4x = 0 6x + y = 0 + 4y 6x + y = 4y Add '-1y' to each side of the equation. 6x + y + -1y = 4y + -1y Combine like terms: y + -1y = 0 6x + 0 = 4y + -1y 6x = 4y + -1y Combine like terms: 4y + -1y = 3y 6x = 3y Divide each side by '6'. x = 0.5y Simplifying x = 0.5y
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