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Simplifying 103 = 2u + 3(-3y + 5) Reorder the terms: 103 = 2u + 3(5 + -3y) 103 = 2u + (5 * 3 + -3y * 3) 103 = 2u + (15 + -9y) Reorder the terms: 103 = 15 + 2u + -9y Solving 103 = 15 + 2u + -9y Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-2u' to each side of the equation. 103 + -2u = 15 + 2u + -2u + -9y Combine like terms: 2u + -2u = 0 103 + -2u = 15 + 0 + -9y 103 + -2u = 15 + -9y Add '-103' to each side of the equation. 103 + -103 + -2u = 15 + -103 + -9y Combine like terms: 103 + -103 = 0 0 + -2u = 15 + -103 + -9y -2u = 15 + -103 + -9y Combine like terms: 15 + -103 = -88 -2u = -88 + -9y Divide each side by '-2'. u = 44 + 4.5y Simplifying u = 44 + 4.5y
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