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Simplifying -5.1(4y + 6) + -2.6(3y + -5) = 0 Reorder the terms: -5.1(6 + 4y) + -2.6(3y + -5) = 0 (6 * -5.1 + 4y * -5.1) + -2.6(3y + -5) = 0 (-30.6 + -20.4y) + -2.6(3y + -5) = 0 Reorder the terms: -30.6 + -20.4y + -2.6(-5 + 3y) = 0 -30.6 + -20.4y + (-5 * -2.6 + 3y * -2.6) = 0 -30.6 + -20.4y + (13 + -7.8y) = 0 Reorder the terms: -30.6 + 13 + -20.4y + -7.8y = 0 Combine like terms: -30.6 + 13 = -17.6 -17.6 + -20.4y + -7.8y = 0 Combine like terms: -20.4y + -7.8y = -28.2y -17.6 + -28.2y = 0 Solving -17.6 + -28.2y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '17.6' to each side of the equation. -17.6 + 17.6 + -28.2y = 0 + 17.6 Combine like terms: -17.6 + 17.6 = 0.0 0.0 + -28.2y = 0 + 17.6 -28.2y = 0 + 17.6 Combine like terms: 0 + 17.6 = 17.6 -28.2y = 17.6 Divide each side by '-28.2'. y = -0.6241134752 Simplifying y = -0.6241134752
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