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Simplifying -5.7(2y + 4) + -2.5(4y + -6) = 0 Reorder the terms: -5.7(4 + 2y) + -2.5(4y + -6) = 0 (4 * -5.7 + 2y * -5.7) + -2.5(4y + -6) = 0 (-22.8 + -11.4y) + -2.5(4y + -6) = 0 Reorder the terms: -22.8 + -11.4y + -2.5(-6 + 4y) = 0 -22.8 + -11.4y + (-6 * -2.5 + 4y * -2.5) = 0 -22.8 + -11.4y + (15 + -10y) = 0 Reorder the terms: -22.8 + 15 + -11.4y + -10y = 0 Combine like terms: -22.8 + 15 = -7.8 -7.8 + -11.4y + -10y = 0 Combine like terms: -11.4y + -10y = -21.4y -7.8 + -21.4y = 0 Solving -7.8 + -21.4y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7.8' to each side of the equation. -7.8 + 7.8 + -21.4y = 0 + 7.8 Combine like terms: -7.8 + 7.8 = 0.0 0.0 + -21.4y = 0 + 7.8 -21.4y = 0 + 7.8 Combine like terms: 0 + 7.8 = 7.8 -21.4y = 7.8 Divide each side by '-21.4'. y = -0.3644859813 Simplifying y = -0.3644859813
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