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Simplifying -5.2(2y + 4) + -2.5(3y + -6) = 0 Reorder the terms: -5.2(4 + 2y) + -2.5(3y + -6) = 0 (4 * -5.2 + 2y * -5.2) + -2.5(3y + -6) = 0 (-20.8 + -10.4y) + -2.5(3y + -6) = 0 Reorder the terms: -20.8 + -10.4y + -2.5(-6 + 3y) = 0 -20.8 + -10.4y + (-6 * -2.5 + 3y * -2.5) = 0 -20.8 + -10.4y + (15 + -7.5y) = 0 Reorder the terms: -20.8 + 15 + -10.4y + -7.5y = 0 Combine like terms: -20.8 + 15 = -5.8 -5.8 + -10.4y + -7.5y = 0 Combine like terms: -10.4y + -7.5y = -17.9y -5.8 + -17.9y = 0 Solving -5.8 + -17.9y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5.8' to each side of the equation. -5.8 + 5.8 + -17.9y = 0 + 5.8 Combine like terms: -5.8 + 5.8 = 0.0 0.0 + -17.9y = 0 + 5.8 -17.9y = 0 + 5.8 Combine like terms: 0 + 5.8 = 5.8 -17.9y = 5.8 Divide each side by '-17.9'. y = -0.3240223464 Simplifying y = -0.3240223464
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