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Simplifying -9(y + -2) = 5y + 46 Reorder the terms: -9(-2 + y) = 5y + 46 (-2 * -9 + y * -9) = 5y + 46 (18 + -9y) = 5y + 46 Reorder the terms: 18 + -9y = 46 + 5y Solving 18 + -9y = 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. 18 + -9y + -5y = 46 + 5y + -5y Combine like terms: -9y + -5y = -14y 18 + -14y = 46 + 5y + -5y Combine like terms: 5y + -5y = 0 18 + -14y = 46 + 0 18 + -14y = 46 Add '-18' to each side of the equation. 18 + -18 + -14y = 46 + -18 Combine like terms: 18 + -18 = 0 0 + -14y = 46 + -18 -14y = 46 + -18 Combine like terms: 46 + -18 = 28 -14y = 28 Divide each side by '-14'. y = -2 Simplifying y = -2
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