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Simplifying 2y + 42 + y = 48 + -3y Reorder the terms: 42 + 2y + y = 48 + -3y Combine like terms: 2y + y = 3y 42 + 3y = 48 + -3y Solving 42 + 3y = 48 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. 42 + 3y + 3y = 48 + -3y + 3y Combine like terms: 3y + 3y = 6y 42 + 6y = 48 + -3y + 3y Combine like terms: -3y + 3y = 0 42 + 6y = 48 + 0 42 + 6y = 48 Add '-42' to each side of the equation. 42 + -42 + 6y = 48 + -42 Combine like terms: 42 + -42 = 0 0 + 6y = 48 + -42 6y = 48 + -42 Combine like terms: 48 + -42 = 6 6y = 6 Divide each side by '6'. y = 1 Simplifying y = 1
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