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Simplifying 4x + 5y = 2(3y + 2x + 4) Reorder the terms: 4x + 5y = 2(4 + 2x + 3y) 4x + 5y = (4 * 2 + 2x * 2 + 3y * 2) 4x + 5y = (8 + 4x + 6y) Add '-4x' to each side of the equation. 4x + -4x + 5y = 8 + 4x + -4x + 6y Combine like terms: 4x + -4x = 0 0 + 5y = 8 + 4x + -4x + 6y 5y = 8 + 4x + -4x + 6y Combine like terms: 4x + -4x = 0 5y = 8 + 0 + 6y 5y = 8 + 6y Solving 5y = 8 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 5y + -6y = 8 + 6y + -6y Combine like terms: 5y + -6y = -1y -1y = 8 + 6y + -6y Combine like terms: 6y + -6y = 0 -1y = 8 + 0 -1y = 8 Divide each side by '-1'. y = -8 Simplifying y = -8
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