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Simplifying 3(y + 6) = 8y + 15.5 Reorder the terms: 3(6 + y) = 8y + 15.5 (6 * 3 + y * 3) = 8y + 15.5 (18 + 3y) = 8y + 15.5 Reorder the terms: 18 + 3y = 15.5 + 8y Solving 18 + 3y = 15.5 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 18 + 3y + -8y = 15.5 + 8y + -8y Combine like terms: 3y + -8y = -5y 18 + -5y = 15.5 + 8y + -8y Combine like terms: 8y + -8y = 0 18 + -5y = 15.5 + 0 18 + -5y = 15.5 Add '-18' to each side of the equation. 18 + -18 + -5y = 15.5 + -18 Combine like terms: 18 + -18 = 0 0 + -5y = 15.5 + -18 -5y = 15.5 + -18 Combine like terms: 15.5 + -18 = -2.5 -5y = -2.5 Divide each side by '-5'. y = 0.5 Simplifying y = 0.5
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