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Simplifying 4(x + 9y) + -2(2x + 4y) = 0 (x * 4 + 9y * 4) + -2(2x + 4y) = 0 (4x + 36y) + -2(2x + 4y) = 0 4x + 36y + (2x * -2 + 4y * -2) = 0 4x + 36y + (-4x + -8y) = 0 Reorder the terms: 4x + -4x + 36y + -8y = 0 Combine like terms: 4x + -4x = 0 0 + 36y + -8y = 0 36y + -8y = 0 Combine like terms: 36y + -8y = 28y 28y = 0 Solving 28y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Divide each side by '28'. y = 0 Simplifying y = 0
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