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Simplifying 5(2y + 1) = 3y + 8 Reorder the terms: 5(1 + 2y) = 3y + 8 (1 * 5 + 2y * 5) = 3y + 8 (5 + 10y) = 3y + 8 Reorder the terms: 5 + 10y = 8 + 3y Solving 5 + 10y = 8 + 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 + 10y + -3y = 8 + 3y + -3y Combine like terms: 10y + -3y = 7y 5 + 7y = 8 + 3y + -3y Combine like terms: 3y + -3y = 0 5 + 7y = 8 + 0 5 + 7y = 8 Add '-5' to each side of the equation. 5 + -5 + 7y = 8 + -5 Combine like terms: 5 + -5 = 0 0 + 7y = 8 + -5 7y = 8 + -5 Combine like terms: 8 + -5 = 3 7y = 3 Divide each side by '7'. y = 0.4285714286 Simplifying y = 0.4285714286
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