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Simplifying 9y + 3(4y + 2) + 5 + 6y + (7 + 3y) * 4 = 0 Reorder the terms: 9y + 3(2 + 4y) + 5 + 6y + (7 + 3y) * 4 = 0 9y + (2 * 3 + 4y * 3) + 5 + 6y + (7 + 3y) * 4 = 0 9y + (6 + 12y) + 5 + 6y + (7 + 3y) * 4 = 0 Reorder the terms for easier multiplication: 9y + 6 + 12y + 5 + 6y + 4(7 + 3y) = 0 9y + 6 + 12y + 5 + 6y + (7 * 4 + 3y * 4) = 0 9y + 6 + 12y + 5 + 6y + (28 + 12y) = 0 Reorder the terms: 6 + 5 + 28 + 9y + 12y + 6y + 12y = 0 Combine like terms: 6 + 5 = 11 11 + 28 + 9y + 12y + 6y + 12y = 0 Combine like terms: 11 + 28 = 39 39 + 9y + 12y + 6y + 12y = 0 Combine like terms: 9y + 12y = 21y 39 + 21y + 6y + 12y = 0 Combine like terms: 21y + 6y = 27y 39 + 27y + 12y = 0 Combine like terms: 27y + 12y = 39y 39 + 39y = 0 Solving 39 + 39y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-39' to each side of the equation. 39 + -39 + 39y = 0 + -39 Combine like terms: 39 + -39 = 0 0 + 39y = 0 + -39 39y = 0 + -39 Combine like terms: 0 + -39 = -39 39y = -39 Divide each side by '39'. y = -1 Simplifying y = -1
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