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Simplifying 2(4y + 22) = 2y + 11 Reorder the terms: 2(22 + 4y) = 2y + 11 (22 * 2 + 4y * 2) = 2y + 11 (44 + 8y) = 2y + 11 Reorder the terms: 44 + 8y = 11 + 2y Solving 44 + 8y = 11 + 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. 44 + 8y + -2y = 11 + 2y + -2y Combine like terms: 8y + -2y = 6y 44 + 6y = 11 + 2y + -2y Combine like terms: 2y + -2y = 0 44 + 6y = 11 + 0 44 + 6y = 11 Add '-44' to each side of the equation. 44 + -44 + 6y = 11 + -44 Combine like terms: 44 + -44 = 0 0 + 6y = 11 + -44 6y = 11 + -44 Combine like terms: 11 + -44 = -33 6y = -33 Divide each side by '6'. y = -5.5 Simplifying y = -5.5
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