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Simplifying -38 + -10y + 18 = -33y + 43 + 14y Reorder the terms: -38 + 18 + -10y = -33y + 43 + 14y Combine like terms: -38 + 18 = -20 -20 + -10y = -33y + 43 + 14y Reorder the terms: -20 + -10y = 43 + -33y + 14y Combine like terms: -33y + 14y = -19y -20 + -10y = 43 + -19y Solving -20 + -10y = 43 + -19y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '19y' to each side of the equation. -20 + -10y + 19y = 43 + -19y + 19y Combine like terms: -10y + 19y = 9y -20 + 9y = 43 + -19y + 19y Combine like terms: -19y + 19y = 0 -20 + 9y = 43 + 0 -20 + 9y = 43 Add '20' to each side of the equation. -20 + 20 + 9y = 43 + 20 Combine like terms: -20 + 20 = 0 0 + 9y = 43 + 20 9y = 43 + 20 Combine like terms: 43 + 20 = 63 9y = 63 Divide each side by '9'. y = 7 Simplifying y = 7
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