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Simplifying 8y + 6 = 3y + 51 Reorder the terms: 6 + 8y = 3y + 51 Reorder the terms: 6 + 8y = 51 + 3y Solving 6 + 8y = 51 + 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. 6 + 8y + -3y = 51 + 3y + -3y Combine like terms: 8y + -3y = 5y 6 + 5y = 51 + 3y + -3y Combine like terms: 3y + -3y = 0 6 + 5y = 51 + 0 6 + 5y = 51 Add '-6' to each side of the equation. 6 + -6 + 5y = 51 + -6 Combine like terms: 6 + -6 = 0 0 + 5y = 51 + -6 5y = 51 + -6 Combine like terms: 51 + -6 = 45 5y = 45 Divide each side by '5'. y = 9 Simplifying y = 9
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