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Simplifying 3(y + 7) = 2(y + 8) Reorder the terms: 3(7 + y) = 2(y + 8) (7 * 3 + y * 3) = 2(y + 8) (21 + 3y) = 2(y + 8) Reorder the terms: 21 + 3y = 2(8 + y) 21 + 3y = (8 * 2 + y * 2) 21 + 3y = (16 + 2y) Solving 21 + 3y = 16 + 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. 21 + 3y + -2y = 16 + 2y + -2y Combine like terms: 3y + -2y = 1y 21 + 1y = 16 + 2y + -2y Combine like terms: 2y + -2y = 0 21 + 1y = 16 + 0 21 + 1y = 16 Add '-21' to each side of the equation. 21 + -21 + 1y = 16 + -21 Combine like terms: 21 + -21 = 0 0 + 1y = 16 + -21 1y = 16 + -21 Combine like terms: 16 + -21 = -5 1y = -5 Divide each side by '1'. y = -5 Simplifying y = -5
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