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Simplifying 12x + -4(2x + -1y) = 8y 12x + (2x * -4 + -1y * -4) = 8y 12x + (-8x + 4y) = 8y Combine like terms: 12x + -8x = 4x 4x + 4y = 8y Solving 4x + 4y = 8y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4y' to each side of the equation. 4x + 4y + -4y = 8y + -4y Combine like terms: 4y + -4y = 0 4x + 0 = 8y + -4y 4x = 8y + -4y Combine like terms: 8y + -4y = 4y 4x = 4y Divide each side by '4'. x = y Simplifying x = y
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