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Simplifying 4(x + y) = 10x + y (x * 4 + y * 4) = 10x + y (4x + 4y) = 10x + y Solving 4x + 4y = 10x + y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 4x + -10x + 4y = 10x + -10x + y Combine like terms: 4x + -10x = -6x -6x + 4y = 10x + -10x + y Combine like terms: 10x + -10x = 0 -6x + 4y = 0 + y -6x + 4y = y Add '-4y' to each side of the equation. -6x + 4y + -4y = y + -4y Combine like terms: 4y + -4y = 0 -6x + 0 = y + -4y -6x = y + -4y Combine like terms: y + -4y = -3y -6x = -3y Divide each side by '-6'. x = 0.5y Simplifying x = 0.5y
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