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Simplifying 4(x + 9y) + -2(2x + 4) = 0 (x * 4 + 9y * 4) + -2(2x + 4) = 0 (4x + 36y) + -2(2x + 4) = 0 Reorder the terms: 4x + 36y + -2(4 + 2x) = 0 4x + 36y + (4 * -2 + 2x * -2) = 0 4x + 36y + (-8 + -4x) = 0 Reorder the terms: -8 + 4x + -4x + 36y = 0 Combine like terms: 4x + -4x = 0 -8 + 0 + 36y = 0 -8 + 36y = 0 Solving -8 + 36y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 36y = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 36y = 0 + 8 36y = 0 + 8 Combine like terms: 0 + 8 = 8 36y = 8 Divide each side by '36'. y = 0.2222222222 Simplifying y = 0.2222222222
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