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Simplifying 9y + 2 = 3y + 42 Reorder the terms: 2 + 9y = 3y + 42 Reorder the terms: 2 + 9y = 42 + 3y Solving 2 + 9y = 42 + 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. 2 + 9y + -3y = 42 + 3y + -3y Combine like terms: 9y + -3y = 6y 2 + 6y = 42 + 3y + -3y Combine like terms: 3y + -3y = 0 2 + 6y = 42 + 0 2 + 6y = 42 Add '-2' to each side of the equation. 2 + -2 + 6y = 42 + -2 Combine like terms: 2 + -2 = 0 0 + 6y = 42 + -2 6y = 42 + -2 Combine like terms: 42 + -2 = 40 6y = 40 Divide each side by '6'. y = 6.666666667 Simplifying y = 6.666666667
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