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Simplifying 2[4(x + y) + -4(4x + -5y)] = 0 2[(x * 4 + y * 4) + -4(4x + -5y)] = 0 2[(4x + 4y) + -4(4x + -5y)] = 0 2[4x + 4y + (4x * -4 + -5y * -4)] = 0 2[4x + 4y + (-16x + 20y)] = 0 Reorder the terms: 2[4x + -16x + 4y + 20y] = 0 Combine like terms: 4x + -16x = -12x 2[-12x + 4y + 20y] = 0 Combine like terms: 4y + 20y = 24y 2[-12x + 24y] = 0 [-12x * 2 + 24y * 2] = 0 [-24x + 48y] = 0 Solving -24x + 48y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48y' to each side of the equation. -24x + 48y + -48y = 0 + -48y Combine like terms: 48y + -48y = 0 -24x + 0 = 0 + -48y -24x = 0 + -48y Remove the zero: -24x = -48y Divide each side by '-24'. x = 2y Simplifying x = 2y
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