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Simplifying 6y + 11 = -3y + 38 Reorder the terms: 11 + 6y = -3y + 38 Reorder the terms: 11 + 6y = 38 + -3y Solving 11 + 6y = 38 + -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. 11 + 6y + 3y = 38 + -3y + 3y Combine like terms: 6y + 3y = 9y 11 + 9y = 38 + -3y + 3y Combine like terms: -3y + 3y = 0 11 + 9y = 38 + 0 11 + 9y = 38 Add '-11' to each side of the equation. 11 + -11 + 9y = 38 + -11 Combine like terms: 11 + -11 = 0 0 + 9y = 38 + -11 9y = 38 + -11 Combine like terms: 38 + -11 = 27 9y = 27 Divide each side by '9'. y = 3 Simplifying y = 3
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