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Simplifying 7(3y + -6) + 4(5y + 3) = 0 Reorder the terms: 7(-6 + 3y) + 4(5y + 3) = 0 (-6 * 7 + 3y * 7) + 4(5y + 3) = 0 (-42 + 21y) + 4(5y + 3) = 0 Reorder the terms: -42 + 21y + 4(3 + 5y) = 0 -42 + 21y + (3 * 4 + 5y * 4) = 0 -42 + 21y + (12 + 20y) = 0 Reorder the terms: -42 + 12 + 21y + 20y = 0 Combine like terms: -42 + 12 = -30 -30 + 21y + 20y = 0 Combine like terms: 21y + 20y = 41y -30 + 41y = 0 Solving -30 + 41y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 41y = 0 + 30 Combine like terms: -30 + 30 = 0 0 + 41y = 0 + 30 41y = 0 + 30 Combine like terms: 0 + 30 = 30 41y = 30 Divide each side by '41'. y = 0.7317073171 Simplifying y = 0.7317073171
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