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Simplifying 5(7y + -4) + 2(3y + 11) = 0 Reorder the terms: 5(-4 + 7y) + 2(3y + 11) = 0 (-4 * 5 + 7y * 5) + 2(3y + 11) = 0 (-20 + 35y) + 2(3y + 11) = 0 Reorder the terms: -20 + 35y + 2(11 + 3y) = 0 -20 + 35y + (11 * 2 + 3y * 2) = 0 -20 + 35y + (22 + 6y) = 0 Reorder the terms: -20 + 22 + 35y + 6y = 0 Combine like terms: -20 + 22 = 2 2 + 35y + 6y = 0 Combine like terms: 35y + 6y = 41y 2 + 41y = 0 Solving 2 + 41y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 41y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 41y = 0 + -2 41y = 0 + -2 Combine like terms: 0 + -2 = -2 41y = -2 Divide each side by '41'. y = -0.0487804878 Simplifying y = -0.0487804878
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