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Simplifying 3(y + 5) = 8y Reorder the terms: 3(5 + y) = 8y (5 * 3 + y * 3) = 8y (15 + 3y) = 8y Solving 15 + 3y = 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. 15 + 3y + -8y = 8y + -8y Combine like terms: 3y + -8y = -5y 15 + -5y = 8y + -8y Combine like terms: 8y + -8y = 0 15 + -5y = 0 Add '-15' to each side of the equation. 15 + -15 + -5y = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -5y = 0 + -15 -5y = 0 + -15 Combine like terms: 0 + -15 = -15 -5y = -15 Divide each side by '-5'. y = 3 Simplifying y = 3
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