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Simplifying 3(y + 2) + -5 = 2(y + 6) Reorder the terms: 3(2 + y) + -5 = 2(y + 6) (2 * 3 + y * 3) + -5 = 2(y + 6) (6 + 3y) + -5 = 2(y + 6) Reorder the terms: 6 + -5 + 3y = 2(y + 6) Combine like terms: 6 + -5 = 1 1 + 3y = 2(y + 6) Reorder the terms: 1 + 3y = 2(6 + y) 1 + 3y = (6 * 2 + y * 2) 1 + 3y = (12 + 2y) Solving 1 + 3y = 12 + 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. 1 + 3y + -2y = 12 + 2y + -2y Combine like terms: 3y + -2y = 1y 1 + 1y = 12 + 2y + -2y Combine like terms: 2y + -2y = 0 1 + 1y = 12 + 0 1 + 1y = 12 Add '-1' to each side of the equation. 1 + -1 + 1y = 12 + -1 Combine like terms: 1 + -1 = 0 0 + 1y = 12 + -1 1y = 12 + -1 Combine like terms: 12 + -1 = 11 1y = 11 Divide each side by '1'. y = 11 Simplifying y = 11
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