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Simplifying 0.33333(6y + -9) = -2y + 13 Reorder the terms: 0.33333(-9 + 6y) = -2y + 13 (-9 * 0.33333 + 6y * 0.33333) = -2y + 13 (-2.99997 + 1.99998y) = -2y + 13 Reorder the terms: -2.99997 + 1.99998y = 13 + -2y Solving -2.99997 + 1.99998y = 13 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. -2.99997 + 1.99998y + 2y = 13 + -2y + 2y Combine like terms: 1.99998y + 2y = 3.99998y -2.99997 + 3.99998y = 13 + -2y + 2y Combine like terms: -2y + 2y = 0 -2.99997 + 3.99998y = 13 + 0 -2.99997 + 3.99998y = 13 Add '2.99997' to each side of the equation. -2.99997 + 2.99997 + 3.99998y = 13 + 2.99997 Combine like terms: -2.99997 + 2.99997 = 0.00000 0.00000 + 3.99998y = 13 + 2.99997 3.99998y = 13 + 2.99997 Combine like terms: 13 + 2.99997 = 15.99997 3.99998y = 15.99997 Divide each side by '3.99998'. y = 4.0000125 Simplifying y = 4.0000125
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