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