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Simplifying 2x + 4y = 2(x + y) + 18 2x + 4y = (x * 2 + y * 2) + 18 2x + 4y = (2x + 2y) + 18 Reorder the terms: 2x + 4y = 18 + 2x + 2y Add '-2x' to each side of the equation. 2x + -2x + 4y = 18 + 2x + -2x + 2y Combine like terms: 2x + -2x = 0 0 + 4y = 18 + 2x + -2x + 2y 4y = 18 + 2x + -2x + 2y Combine like terms: 2x + -2x = 0 4y = 18 + 0 + 2y 4y = 18 + 2y Solving 4y = 18 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 4y + -2y = 18 + 2y + -2y Combine like terms: 4y + -2y = 2y 2y = 18 + 2y + -2y Combine like terms: 2y + -2y = 0 2y = 18 + 0 2y = 18 Divide each side by '2'. y = 9 Simplifying y = 9
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