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Simplifying 9(y + -2) = 4y + -38 Reorder the terms: 9(-2 + y) = 4y + -38 (-2 * 9 + y * 9) = 4y + -38 (-18 + 9y) = 4y + -38 Reorder the terms: -18 + 9y = -38 + 4y Solving -18 + 9y = -38 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -18 + 9y + -4y = -38 + 4y + -4y Combine like terms: 9y + -4y = 5y -18 + 5y = -38 + 4y + -4y Combine like terms: 4y + -4y = 0 -18 + 5y = -38 + 0 -18 + 5y = -38 Add '18' to each side of the equation. -18 + 18 + 5y = -38 + 18 Combine like terms: -18 + 18 = 0 0 + 5y = -38 + 18 5y = -38 + 18 Combine like terms: -38 + 18 = -20 5y = -20 Divide each side by '5'. y = -4 Simplifying y = -4
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