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Simplifying 0.33333333333(6y + -9) = -2y + 13 Reorder the terms: 0.33333333333(-9 + 6y) = -2y + 13 (-9 * 0.33333333333 + 6y * 0.33333333333) = -2y + 13 (-3 + 2y) = -2y + 13 Reorder the terms: -3 + 2y = 13 + -2y Solving -3 + 2y = 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 + 2y + 2y = 13 + -2y + 2y Combine like terms: 2y + 2y = 4y -3 + 4y = 13 + -2y + 2y Combine like terms: -2y + 2y = 0 -3 + 4y = 13 + 0 -3 + 4y = 13 Add '3' to each side of the equation. -3 + 3 + 4y = 13 + 3 Combine like terms: -3 + 3 = 0 0 + 4y = 13 + 3 4y = 13 + 3 Combine like terms: 13 + 3 = 16 4y = 16 Divide each side by '4'. y = 4 Simplifying y = 4
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