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Simplifying 4(2x + -3y) + 8y = 0 (2x * 4 + -3y * 4) + 8y = 0 (8x + -12y) + 8y = 0 Combine like terms: -12y + 8y = -4y 8x + -4y = 0 Solving 8x + -4y = 0 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. 8x + -4y + 4y = 0 + 4y Combine like terms: -4y + 4y = 0 8x + 0 = 0 + 4y 8x = 0 + 4y Remove the zero: 8x = 4y Divide each side by '8'. x = 0.5y Simplifying x = 0.5y
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