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Simplifying 3y + 11 = -8y + 51 Reorder the terms: 11 + 3y = -8y + 51 Reorder the terms: 11 + 3y = 51 + -8y Solving 11 + 3y = 51 + -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. 11 + 3y + 8y = 51 + -8y + 8y Combine like terms: 3y + 8y = 11y 11 + 11y = 51 + -8y + 8y Combine like terms: -8y + 8y = 0 11 + 11y = 51 + 0 11 + 11y = 51 Add '-11' to each side of the equation. 11 + -11 + 11y = 51 + -11 Combine like terms: 11 + -11 = 0 0 + 11y = 51 + -11 11y = 51 + -11 Combine like terms: 51 + -11 = 40 11y = 40 Divide each side by '11'. y = 3.636363636 Simplifying y = 3.636363636
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