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Simplifying 7(y + 3) = 5y + 2 Reorder the terms: 7(3 + y) = 5y + 2 (3 * 7 + y * 7) = 5y + 2 (21 + 7y) = 5y + 2 Reorder the terms: 21 + 7y = 2 + 5y Solving 21 + 7y = 2 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. 21 + 7y + -5y = 2 + 5y + -5y Combine like terms: 7y + -5y = 2y 21 + 2y = 2 + 5y + -5y Combine like terms: 5y + -5y = 0 21 + 2y = 2 + 0 21 + 2y = 2 Add '-21' to each side of the equation. 21 + -21 + 2y = 2 + -21 Combine like terms: 21 + -21 = 0 0 + 2y = 2 + -21 2y = 2 + -21 Combine like terms: 2 + -21 = -19 2y = -19 Divide each side by '2'. y = -9.5 Simplifying y = -9.5
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