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Simplifying 5(y + 1) = 3(y + 4) Reorder the terms: 5(1 + y) = 3(y + 4) (1 * 5 + y * 5) = 3(y + 4) (5 + 5y) = 3(y + 4) Reorder the terms: 5 + 5y = 3(4 + y) 5 + 5y = (4 * 3 + y * 3) 5 + 5y = (12 + 3y) Solving 5 + 5y = 12 + 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. 5 + 5y + -3y = 12 + 3y + -3y Combine like terms: 5y + -3y = 2y 5 + 2y = 12 + 3y + -3y Combine like terms: 3y + -3y = 0 5 + 2y = 12 + 0 5 + 2y = 12 Add '-5' to each side of the equation. 5 + -5 + 2y = 12 + -5 Combine like terms: 5 + -5 = 0 0 + 2y = 12 + -5 2y = 12 + -5 Combine like terms: 12 + -5 = 7 2y = 7 Divide each side by '2'. y = 3.5 Simplifying y = 3.5
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