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Simplifying 0.3(6y + -9) = -2y + 13 Reorder the terms: 0.3(-9 + 6y) = -2y + 13 (-9 * 0.3 + 6y * 0.3) = -2y + 13 (-2.7 + 1.8y) = -2y + 13 Reorder the terms: -2.7 + 1.8y = 13 + -2y Solving -2.7 + 1.8y = 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. -2.7 + 1.8y + 2y = 13 + -2y + 2y Combine like terms: 1.8y + 2y = 3.8y -2.7 + 3.8y = 13 + -2y + 2y Combine like terms: -2y + 2y = 0 -2.7 + 3.8y = 13 + 0 -2.7 + 3.8y = 13 Add '2.7' to each side of the equation. -2.7 + 2.7 + 3.8y = 13 + 2.7 Combine like terms: -2.7 + 2.7 = 0.0 0.0 + 3.8y = 13 + 2.7 3.8y = 13 + 2.7 Combine like terms: 13 + 2.7 = 15.7 3.8y = 15.7 Divide each side by '3.8'. y = 4.131578947 Simplifying y = 4.131578947
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