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Simplifying -3(0.4 + 0.2y) + 6y = -12 (0.4 * -3 + 0.2y * -3) + 6y = -12 (-1.2 + -0.6y) + 6y = -12 Combine like terms: -0.6y + 6y = 5.4y -1.2 + 5.4y = -12 Solving -1.2 + 5.4y = -12 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '1.2' to each side of the equation. -1.2 + 1.2 + 5.4y = -12 + 1.2 Combine like terms: -1.2 + 1.2 = 0.0 0.0 + 5.4y = -12 + 1.2 5.4y = -12 + 1.2 Combine like terms: -12 + 1.2 = -10.8 5.4y = -10.8 Divide each side by '5.4'. y = -2 Simplifying y = -2
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