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Simplifying 2(y + 4) = 2x + 11 + y Reorder the terms: 2(4 + y) = 2x + 11 + y (4 * 2 + y * 2) = 2x + 11 + y (8 + 2y) = 2x + 11 + y Reorder the terms: 8 + 2y = 11 + 2x + y Solving 8 + 2y = 11 + 2x + y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. 8 + 2y + -1y = 11 + 2x + y + -1y Combine like terms: 2y + -1y = 1y 8 + 1y = 11 + 2x + y + -1y Combine like terms: y + -1y = 0 8 + 1y = 11 + 2x + 0 8 + 1y = 11 + 2x Add '-8' to each side of the equation. 8 + -8 + 1y = 11 + -8 + 2x Combine like terms: 8 + -8 = 0 0 + 1y = 11 + -8 + 2x 1y = 11 + -8 + 2x Combine like terms: 11 + -8 = 3 1y = 3 + 2x Divide each side by '1'. y = 3 + 2x Simplifying y = 3 + 2x
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