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Simplifying -6.1(2y + 5) + -2.4(4y + -6) = 0 Reorder the terms: -6.1(5 + 2y) + -2.4(4y + -6) = 0 (5 * -6.1 + 2y * -6.1) + -2.4(4y + -6) = 0 (-30.5 + -12.2y) + -2.4(4y + -6) = 0 Reorder the terms: -30.5 + -12.2y + -2.4(-6 + 4y) = 0 -30.5 + -12.2y + (-6 * -2.4 + 4y * -2.4) = 0 -30.5 + -12.2y + (14.4 + -9.6y) = 0 Reorder the terms: -30.5 + 14.4 + -12.2y + -9.6y = 0 Combine like terms: -30.5 + 14.4 = -16.1 -16.1 + -12.2y + -9.6y = 0 Combine like terms: -12.2y + -9.6y = -21.8y -16.1 + -21.8y = 0 Solving -16.1 + -21.8y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '16.1' to each side of the equation. -16.1 + 16.1 + -21.8y = 0 + 16.1 Combine like terms: -16.1 + 16.1 = 0.0 0.0 + -21.8y = 0 + 16.1 -21.8y = 0 + 16.1 Combine like terms: 0 + 16.1 = 16.1 -21.8y = 16.1 Divide each side by '-21.8'. y = -0.7385321101 Simplifying y = -0.7385321101
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