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Simplifying 7(3y + -4) + 3(4y + 6) = 0 Reorder the terms: 7(-4 + 3y) + 3(4y + 6) = 0 (-4 * 7 + 3y * 7) + 3(4y + 6) = 0 (-28 + 21y) + 3(4y + 6) = 0 Reorder the terms: -28 + 21y + 3(6 + 4y) = 0 -28 + 21y + (6 * 3 + 4y * 3) = 0 -28 + 21y + (18 + 12y) = 0 Reorder the terms: -28 + 18 + 21y + 12y = 0 Combine like terms: -28 + 18 = -10 -10 + 21y + 12y = 0 Combine like terms: 21y + 12y = 33y -10 + 33y = 0 Solving -10 + 33y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 33y = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 33y = 0 + 10 33y = 0 + 10 Combine like terms: 0 + 10 = 10 33y = 10 Divide each side by '33'. y = 0.303030303 Simplifying y = 0.303030303
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