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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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