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Simplifying 5(2y + 4) + 3(y + 4) = 0 Reorder the terms: 5(4 + 2y) + 3(y + 4) = 0 (4 * 5 + 2y * 5) + 3(y + 4) = 0 (20 + 10y) + 3(y + 4) = 0 Reorder the terms: 20 + 10y + 3(4 + y) = 0 20 + 10y + (4 * 3 + y * 3) = 0 20 + 10y + (12 + 3y) = 0 Reorder the terms: 20 + 12 + 10y + 3y = 0 Combine like terms: 20 + 12 = 32 32 + 10y + 3y = 0 Combine like terms: 10y + 3y = 13y 32 + 13y = 0 Solving 32 + 13y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 13y = 0 + -32 Combine like terms: 32 + -32 = 0 0 + 13y = 0 + -32 13y = 0 + -32 Combine like terms: 0 + -32 = -32 13y = -32 Divide each side by '13'. y = -2.461538462 Simplifying y = -2.461538462
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