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Simplifying -3(4y + -5) + 2(3y + 8) = 0 Reorder the terms: -3(-5 + 4y) + 2(3y + 8) = 0 (-5 * -3 + 4y * -3) + 2(3y + 8) = 0 (15 + -12y) + 2(3y + 8) = 0 Reorder the terms: 15 + -12y + 2(8 + 3y) = 0 15 + -12y + (8 * 2 + 3y * 2) = 0 15 + -12y + (16 + 6y) = 0 Reorder the terms: 15 + 16 + -12y + 6y = 0 Combine like terms: 15 + 16 = 31 31 + -12y + 6y = 0 Combine like terms: -12y + 6y = -6y 31 + -6y = 0 Solving 31 + -6y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + -6y = 0 + -31 Combine like terms: 31 + -31 = 0 0 + -6y = 0 + -31 -6y = 0 + -31 Combine like terms: 0 + -31 = -31 -6y = -31 Divide each side by '-6'. y = 5.166666667 Simplifying y = 5.166666667
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