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Simplifying 48 = (3y + 1) + (2y + 2) Reorder the terms: 48 = (1 + 3y) + (2y + 2) Remove parenthesis around (1 + 3y) 48 = 1 + 3y + (2y + 2) Reorder the terms: 48 = 1 + 3y + (2 + 2y) Remove parenthesis around (2 + 2y) 48 = 1 + 3y + 2 + 2y Reorder the terms: 48 = 1 + 2 + 3y + 2y Combine like terms: 1 + 2 = 3 48 = 3 + 3y + 2y Combine like terms: 3y + 2y = 5y 48 = 3 + 5y Solving 48 = 3 + 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. 48 + -5y = 3 + 5y + -5y Combine like terms: 5y + -5y = 0 48 + -5y = 3 + 0 48 + -5y = 3 Add '-48' to each side of the equation. 48 + -48 + -5y = 3 + -48 Combine like terms: 48 + -48 = 0 0 + -5y = 3 + -48 -5y = 3 + -48 Combine like terms: 3 + -48 = -45 -5y = -45 Divide each side by '-5'. y = 9 Simplifying y = 9
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