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Simplifying -5.2(2y + 4) + -2.8(3y + -6) = 0 Reorder the terms: -5.2(4 + 2y) + -2.8(3y + -6) = 0 (4 * -5.2 + 2y * -5.2) + -2.8(3y + -6) = 0 (-20.8 + -10.4y) + -2.8(3y + -6) = 0 Reorder the terms: -20.8 + -10.4y + -2.8(-6 + 3y) = 0 -20.8 + -10.4y + (-6 * -2.8 + 3y * -2.8) = 0 -20.8 + -10.4y + (16.8 + -8.4y) = 0 Reorder the terms: -20.8 + 16.8 + -10.4y + -8.4y = 0 Combine like terms: -20.8 + 16.8 = -4 -4 + -10.4y + -8.4y = 0 Combine like terms: -10.4y + -8.4y = -18.8y -4 + -18.8y = 0 Solving -4 + -18.8y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -18.8y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -18.8y = 0 + 4 -18.8y = 0 + 4 Combine like terms: 0 + 4 = 4 -18.8y = 4 Divide each side by '-18.8'. y = -0.2127659574 Simplifying y = -0.2127659574
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