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Simplifying 46y = 5(9y + -7) Reorder the terms: 46y = 5(-7 + 9y) 46y = (-7 * 5 + 9y * 5) 46y = (-35 + 45y) Solving 46y = -35 + 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 = -35 + 45y + -45y Combine like terms: 46y + -45y = 1y 1y = -35 + 45y + -45y Combine like terms: 45y + -45y = 0 1y = -35 + 0 1y = -35 Divide each side by '1'. y = -35 Simplifying y = -35
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