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Simplifying 10y + 6 = 5y + 46 Reorder the terms: 6 + 10y = 5y + 46 Reorder the terms: 6 + 10y = 46 + 5y Solving 6 + 10y = 46 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. 6 + 10y + -5y = 46 + 5y + -5y Combine like terms: 10y + -5y = 5y 6 + 5y = 46 + 5y + -5y Combine like terms: 5y + -5y = 0 6 + 5y = 46 + 0 6 + 5y = 46 Add '-6' to each side of the equation. 6 + -6 + 5y = 46 + -6 Combine like terms: 6 + -6 = 0 0 + 5y = 46 + -6 5y = 46 + -6 Combine like terms: 46 + -6 = 40 5y = 40 Divide each side by '5'. y = 8 Simplifying y = 8
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