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Simplifying 46y = 9(5y + 6) Reorder the terms: 46y = 9(6 + 5y) 46y = (6 * 9 + 5y * 9) 46y = (54 + 45y) Solving 46y = 54 + 45y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-45y' to each side of the equation. 46y + -45y = 54 + 45y + -45y Combine like terms: 46y + -45y = 1y 1y = 54 + 45y + -45y Combine like terms: 45y + -45y = 0 1y = 54 + 0 1y = 54 Divide each side by '1'. y = 54 Simplifying y = 54
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