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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 = -0.2y -2.7 + -0.2y = 13 + 2y + -2y Combine like terms: 2y + -2y = 0 -2.7 + -0.2y = 13 + 0 -2.7 + -0.2y = 13 Add '2.7' to each side of the equation. -2.7 + 2.7 + -0.2y = 13 + 2.7 Combine like terms: -2.7 + 2.7 = 0.0 0.0 + -0.2y = 13 + 2.7 -0.2y = 13 + 2.7 Combine like terms: 13 + 2.7 = 15.7 -0.2y = 15.7 Divide each side by '-0.2'. y = -78.5 Simplifying y = -78.5
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