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Simplifying (3y + 12) = (y + 30) + (y + 30) Reorder the terms: (12 + 3y) = (y + 30) + (y + 30) Remove parenthesis around (12 + 3y) 12 + 3y = (y + 30) + (y + 30) Reorder the terms: 12 + 3y = (30 + y) + (y + 30) Remove parenthesis around (30 + y) 12 + 3y = 30 + y + (y + 30) Reorder the terms: 12 + 3y = 30 + y + (30 + y) Remove parenthesis around (30 + y) 12 + 3y = 30 + y + 30 + y Reorder the terms: 12 + 3y = 30 + 30 + y + y Combine like terms: 30 + 30 = 60 12 + 3y = 60 + y + y Combine like terms: y + y = 2y 12 + 3y = 60 + 2y Solving 12 + 3y = 60 + 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. 12 + 3y + -2y = 60 + 2y + -2y Combine like terms: 3y + -2y = 1y 12 + 1y = 60 + 2y + -2y Combine like terms: 2y + -2y = 0 12 + 1y = 60 + 0 12 + 1y = 60 Add '-12' to each side of the equation. 12 + -12 + 1y = 60 + -12 Combine like terms: 12 + -12 = 0 0 + 1y = 60 + -12 1y = 60 + -12 Combine like terms: 60 + -12 = 48 1y = 48 Divide each side by '1'. y = 48 Simplifying y = 48
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