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Simplifying 5y + 19 = 3(y + 8) Reorder the terms: 19 + 5y = 3(y + 8) Reorder the terms: 19 + 5y = 3(8 + y) 19 + 5y = (8 * 3 + y * 3) 19 + 5y = (24 + 3y) Solving 19 + 5y = 24 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 19 + 5y + -3y = 24 + 3y + -3y Combine like terms: 5y + -3y = 2y 19 + 2y = 24 + 3y + -3y Combine like terms: 3y + -3y = 0 19 + 2y = 24 + 0 19 + 2y = 24 Add '-19' to each side of the equation. 19 + -19 + 2y = 24 + -19 Combine like terms: 19 + -19 = 0 0 + 2y = 24 + -19 2y = 24 + -19 Combine like terms: 24 + -19 = 5 2y = 5 Divide each side by '2'. y = 2.5 Simplifying y = 2.5
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