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Simplifying 0.33334(6y + -9) = -2y + 13 Reorder the terms: 0.33334(-9 + 6y) = -2y + 13 (-9 * 0.33334 + 6y * 0.33334) = -2y + 13 (-3.00006 + 2.00004y) = -2y + 13 Reorder the terms: -3.00006 + 2.00004y = 13 + -2y Solving -3.00006 + 2.00004y = 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. -3.00006 + 2.00004y + 2y = 13 + -2y + 2y Combine like terms: 2.00004y + 2y = 4.00004y -3.00006 + 4.00004y = 13 + -2y + 2y Combine like terms: -2y + 2y = 0 -3.00006 + 4.00004y = 13 + 0 -3.00006 + 4.00004y = 13 Add '3.00006' to each side of the equation. -3.00006 + 3.00006 + 4.00004y = 13 + 3.00006 Combine like terms: -3.00006 + 3.00006 = 0.00000 0.00000 + 4.00004y = 13 + 3.00006 4.00004y = 13 + 3.00006 Combine like terms: 13 + 3.00006 = 16.00006 4.00004y = 16.00006 Divide each side by '4.00004'. y = 3.999975 Simplifying y = 3.999975
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