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Simplifying 7(y + 3) + 2 = 3y + 11 Reorder the terms: 7(3 + y) + 2 = 3y + 11 (3 * 7 + y * 7) + 2 = 3y + 11 (21 + 7y) + 2 = 3y + 11 Reorder the terms: 21 + 2 + 7y = 3y + 11 Combine like terms: 21 + 2 = 23 23 + 7y = 3y + 11 Reorder the terms: 23 + 7y = 11 + 3y Solving 23 + 7y = 11 + 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. 23 + 7y + -3y = 11 + 3y + -3y Combine like terms: 7y + -3y = 4y 23 + 4y = 11 + 3y + -3y Combine like terms: 3y + -3y = 0 23 + 4y = 11 + 0 23 + 4y = 11 Add '-23' to each side of the equation. 23 + -23 + 4y = 11 + -23 Combine like terms: 23 + -23 = 0 0 + 4y = 11 + -23 4y = 11 + -23 Combine like terms: 11 + -23 = -12 4y = -12 Divide each side by '4'. y = -3 Simplifying y = -3
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