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Simplifying -6(8.6 + -0.4y) + 3y = -30 (8.6 * -6 + -0.4y * -6) + 3y = -30 (-51.6 + 2.4y) + 3y = -30 Combine like terms: 2.4y + 3y = 5.4y -51.6 + 5.4y = -30 Solving -51.6 + 5.4y = -30 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '51.6' to each side of the equation. -51.6 + 51.6 + 5.4y = -30 + 51.6 Combine like terms: -51.6 + 51.6 = 0.0 0.0 + 5.4y = -30 + 51.6 5.4y = -30 + 51.6 Combine like terms: -30 + 51.6 = 21.6 5.4y = 21.6 Divide each side by '5.4'. y = 4 Simplifying y = 4
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