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Simplifying 8y + 3(7 + -1y) = 51 8y + (7 * 3 + -1y * 3) = 51 8y + (21 + -3y) = 51 Reorder the terms: 21 + 8y + -3y = 51 Combine like terms: 8y + -3y = 5y 21 + 5y = 51 Solving 21 + 5y = 51 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 5y = 51 + -21 Combine like terms: 21 + -21 = 0 0 + 5y = 51 + -21 5y = 51 + -21 Combine like terms: 51 + -21 = 30 5y = 30 Divide each side by '5'. y = 6 Simplifying y = 6
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