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Simplifying 7(3y + -5) + 4(5y + 6) = 0 Reorder the terms: 7(-5 + 3y) + 4(5y + 6) = 0 (-5 * 7 + 3y * 7) + 4(5y + 6) = 0 (-35 + 21y) + 4(5y + 6) = 0 Reorder the terms: -35 + 21y + 4(6 + 5y) = 0 -35 + 21y + (6 * 4 + 5y * 4) = 0 -35 + 21y + (24 + 20y) = 0 Reorder the terms: -35 + 24 + 21y + 20y = 0 Combine like terms: -35 + 24 = -11 -11 + 21y + 20y = 0 Combine like terms: 21y + 20y = 41y -11 + 41y = 0 Solving -11 + 41y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 41y = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 41y = 0 + 11 41y = 0 + 11 Combine like terms: 0 + 11 = 11 41y = 11 Divide each side by '41'. y = 0.2682926829 Simplifying y = 0.2682926829
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