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Simplifying 7y + 2 = 0.333333333(9y + 282) Reorder the terms: 2 + 7y = 0.333333333(9y + 282) Reorder the terms: 2 + 7y = 0.333333333(282 + 9y) 2 + 7y = (282 * 0.333333333 + 9y * 0.333333333) 2 + 7y = (93.99999991 + 2.999999997y) Solving 2 + 7y = 93.99999991 + 2.999999997y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2.999999997y' to each side of the equation. 2 + 7y + -2.999999997y = 93.99999991 + 2.999999997y + -2.999999997y Combine like terms: 7y + -2.999999997y = 4.000000003y 2 + 4.000000003y = 93.99999991 + 2.999999997y + -2.999999997y Combine like terms: 2.999999997y + -2.999999997y = 0.000000000 2 + 4.000000003y = 93.99999991 + 0.000000000 2 + 4.000000003y = 93.99999991 Add '-2' to each side of the equation. 2 + -2 + 4.000000003y = 93.99999991 + -2 Combine like terms: 2 + -2 = 0 0 + 4.000000003y = 93.99999991 + -2 4.000000003y = 93.99999991 + -2 Combine like terms: 93.99999991 + -2 = 91.99999991 4.000000003y = 91.99999991 Divide each side by '4.000000003'. y = 22.99999996 Simplifying y = 22.99999996
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