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Simplifying 46y = 15(3y + 10) Reorder the terms: 46y = 15(10 + 3y) 46y = (10 * 15 + 3y * 15) 46y = (150 + 45y) Solving 46y = 150 + 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 = 150 + 45y + -45y Combine like terms: 46y + -45y = 1y 1y = 150 + 45y + -45y Combine like terms: 45y + -45y = 0 1y = 150 + 0 1y = 150 Divide each side by '1'. y = 150 Simplifying y = 150
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