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Simplifying 3y + 8y + -19 = 17 + 5y Reorder the terms: -19 + 3y + 8y = 17 + 5y Combine like terms: 3y + 8y = 11y -19 + 11y = 17 + 5y Solving -19 + 11y = 17 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -19 + 11y + -5y = 17 + 5y + -5y Combine like terms: 11y + -5y = 6y -19 + 6y = 17 + 5y + -5y Combine like terms: 5y + -5y = 0 -19 + 6y = 17 + 0 -19 + 6y = 17 Add '19' to each side of the equation. -19 + 19 + 6y = 17 + 19 Combine like terms: -19 + 19 = 0 0 + 6y = 17 + 19 6y = 17 + 19 Combine like terms: 17 + 19 = 36 6y = 36 Divide each side by '6'. y = 6 Simplifying y = 6
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