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Simplifying -5.8(2y + 6) + -2.2(3y + -5) = 0 Reorder the terms: -5.8(6 + 2y) + -2.2(3y + -5) = 0 (6 * -5.8 + 2y * -5.8) + -2.2(3y + -5) = 0 (-34.8 + -11.6y) + -2.2(3y + -5) = 0 Reorder the terms: -34.8 + -11.6y + -2.2(-5 + 3y) = 0 -34.8 + -11.6y + (-5 * -2.2 + 3y * -2.2) = 0 -34.8 + -11.6y + (11 + -6.6y) = 0 Reorder the terms: -34.8 + 11 + -11.6y + -6.6y = 0 Combine like terms: -34.8 + 11 = -23.8 -23.8 + -11.6y + -6.6y = 0 Combine like terms: -11.6y + -6.6y = -18.2y -23.8 + -18.2y = 0 Solving -23.8 + -18.2y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '23.8' to each side of the equation. -23.8 + 23.8 + -18.2y = 0 + 23.8 Combine like terms: -23.8 + 23.8 = 0.0 0.0 + -18.2y = 0 + 23.8 -18.2y = 0 + 23.8 Combine like terms: 0 + 23.8 = 23.8 -18.2y = 23.8 Divide each side by '-18.2'. y = -1.307692308 Simplifying y = -1.307692308
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