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Simplifying y + 42 + y = 12 + 3y + 2y Reorder the terms: 42 + y + y = 12 + 3y + 2y Combine like terms: y + y = 2y 42 + 2y = 12 + 3y + 2y Combine like terms: 3y + 2y = 5y 42 + 2y = 12 + 5y Solving 42 + 2y = 12 + 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. 42 + 2y + -5y = 12 + 5y + -5y Combine like terms: 2y + -5y = -3y 42 + -3y = 12 + 5y + -5y Combine like terms: 5y + -5y = 0 42 + -3y = 12 + 0 42 + -3y = 12 Add '-42' to each side of the equation. 42 + -42 + -3y = 12 + -42 Combine like terms: 42 + -42 = 0 0 + -3y = 12 + -42 -3y = 12 + -42 Combine like terms: 12 + -42 = -30 -3y = -30 Divide each side by '-3'. y = 10 Simplifying y = 10
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