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Simplifying 4(4y + -8) + 3(2y + 6) = 0 Reorder the terms: 4(-8 + 4y) + 3(2y + 6) = 0 (-8 * 4 + 4y * 4) + 3(2y + 6) = 0 (-32 + 16y) + 3(2y + 6) = 0 Reorder the terms: -32 + 16y + 3(6 + 2y) = 0 -32 + 16y + (6 * 3 + 2y * 3) = 0 -32 + 16y + (18 + 6y) = 0 Reorder the terms: -32 + 18 + 16y + 6y = 0 Combine like terms: -32 + 18 = -14 -14 + 16y + 6y = 0 Combine like terms: 16y + 6y = 22y -14 + 22y = 0 Solving -14 + 22y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 22y = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 22y = 0 + 14 22y = 0 + 14 Combine like terms: 0 + 14 = 14 22y = 14 Divide each side by '22'. y = 0.6363636364 Simplifying y = 0.6363636364
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