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Simplifying (2y + 2) + (3y + 1) = 48 Reorder the terms: (2 + 2y) + (3y + 1) = 48 Remove parenthesis around (2 + 2y) 2 + 2y + (3y + 1) = 48 Reorder the terms: 2 + 2y + (1 + 3y) = 48 Remove parenthesis around (1 + 3y) 2 + 2y + 1 + 3y = 48 Reorder the terms: 2 + 1 + 2y + 3y = 48 Combine like terms: 2 + 1 = 3 3 + 2y + 3y = 48 Combine like terms: 2y + 3y = 5y 3 + 5y = 48 Solving 3 + 5y = 48 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 5y = 48 + -3 Combine like terms: 3 + -3 = 0 0 + 5y = 48 + -3 5y = 48 + -3 Combine like terms: 48 + -3 = 45 5y = 45 Divide each side by '5'. y = 9 Simplifying y = 9
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