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Simplifying -6.1(4y + 6) + -2.9(3y + -5) = 0 Reorder the terms: -6.1(6 + 4y) + -2.9(3y + -5) = 0 (6 * -6.1 + 4y * -6.1) + -2.9(3y + -5) = 0 (-36.6 + -24.4y) + -2.9(3y + -5) = 0 Reorder the terms: -36.6 + -24.4y + -2.9(-5 + 3y) = 0 -36.6 + -24.4y + (-5 * -2.9 + 3y * -2.9) = 0 -36.6 + -24.4y + (14.5 + -8.7y) = 0 Reorder the terms: -36.6 + 14.5 + -24.4y + -8.7y = 0 Combine like terms: -36.6 + 14.5 = -22.1 -22.1 + -24.4y + -8.7y = 0 Combine like terms: -24.4y + -8.7y = -33.1y -22.1 + -33.1y = 0 Solving -22.1 + -33.1y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '22.1' to each side of the equation. -22.1 + 22.1 + -33.1y = 0 + 22.1 Combine like terms: -22.1 + 22.1 = 0.0 0.0 + -33.1y = 0 + 22.1 -33.1y = 0 + 22.1 Combine like terms: 0 + 22.1 = 22.1 -33.1y = 22.1 Divide each side by '-33.1'. y = -0.667673716 Simplifying y = -0.667673716
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