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Simplifying 5y + 11 = 3(11 + -2y) Reorder the terms: 11 + 5y = 3(11 + -2y) 11 + 5y = (11 * 3 + -2y * 3) 11 + 5y = (33 + -6y) Solving 11 + 5y = 33 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. 11 + 5y + 6y = 33 + -6y + 6y Combine like terms: 5y + 6y = 11y 11 + 11y = 33 + -6y + 6y Combine like terms: -6y + 6y = 0 11 + 11y = 33 + 0 11 + 11y = 33 Add '-11' to each side of the equation. 11 + -11 + 11y = 33 + -11 Combine like terms: 11 + -11 = 0 0 + 11y = 33 + -11 11y = 33 + -11 Combine like terms: 33 + -11 = 22 11y = 22 Divide each side by '11'. y = 2 Simplifying y = 2
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