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Simplifying -6.9(4y + 6) + -2.9(2y + -4) = 0 Reorder the terms: -6.9(6 + 4y) + -2.9(2y + -4) = 0 (6 * -6.9 + 4y * -6.9) + -2.9(2y + -4) = 0 (-41.4 + -27.6y) + -2.9(2y + -4) = 0 Reorder the terms: -41.4 + -27.6y + -2.9(-4 + 2y) = 0 -41.4 + -27.6y + (-4 * -2.9 + 2y * -2.9) = 0 -41.4 + -27.6y + (11.6 + -5.8y) = 0 Reorder the terms: -41.4 + 11.6 + -27.6y + -5.8y = 0 Combine like terms: -41.4 + 11.6 = -29.8 -29.8 + -27.6y + -5.8y = 0 Combine like terms: -27.6y + -5.8y = -33.4y -29.8 + -33.4y = 0 Solving -29.8 + -33.4y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '29.8' to each side of the equation. -29.8 + 29.8 + -33.4y = 0 + 29.8 Combine like terms: -29.8 + 29.8 = 0.0 0.0 + -33.4y = 0 + 29.8 -33.4y = 0 + 29.8 Combine like terms: 0 + 29.8 = 29.8 -33.4y = 29.8 Divide each side by '-33.4'. y = -0.8922155689 Simplifying y = -0.8922155689
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