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Simplifying 3 + 2(8 + -3y) = 5y + 1 3 + (8 * 2 + -3y * 2) = 5y + 1 3 + (16 + -6y) = 5y + 1 Combine like terms: 3 + 16 = 19 19 + -6y = 5y + 1 Reorder the terms: 19 + -6y = 1 + 5y Solving 19 + -6y = 1 + 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 + -6y + -5y = 1 + 5y + -5y Combine like terms: -6y + -5y = -11y 19 + -11y = 1 + 5y + -5y Combine like terms: 5y + -5y = 0 19 + -11y = 1 + 0 19 + -11y = 1 Add '-19' to each side of the equation. 19 + -19 + -11y = 1 + -19 Combine like terms: 19 + -19 = 0 0 + -11y = 1 + -19 -11y = 1 + -19 Combine like terms: 1 + -19 = -18 -11y = -18 Divide each side by '-11'. y = 1.636363636 Simplifying y = 1.636363636
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