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Simplifying 4(y + 4) + 8y = -32 Reorder the terms: 4(4 + y) + 8y = -32 (4 * 4 + y * 4) + 8y = -32 (16 + 4y) + 8y = -32 Combine like terms: 4y + 8y = 12y 16 + 12y = -32 Solving 16 + 12y = -32 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 12y = -32 + -16 Combine like terms: 16 + -16 = 0 0 + 12y = -32 + -16 12y = -32 + -16 Combine like terms: -32 + -16 = -48 12y = -48 Divide each side by '12'. y = -4 Simplifying y = -4
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