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Simplifying 3(4y + -1) + -2 = 8 + -8.5 Reorder the terms: 3(-1 + 4y) + -2 = 8 + -8.5 (-1 * 3 + 4y * 3) + -2 = 8 + -8.5 (-3 + 12y) + -2 = 8 + -8.5 Reorder the terms: -3 + -2 + 12y = 8 + -8.5 Combine like terms: -3 + -2 = -5 -5 + 12y = 8 + -8.5 Combine like terms: 8 + -8.5 = -0.5 -5 + 12y = -0.5 Solving -5 + 12y = -0.5 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 12y = -0.5 + 5 Combine like terms: -5 + 5 = 0 0 + 12y = -0.5 + 5 12y = -0.5 + 5 Combine like terms: -0.5 + 5 = 4.5 12y = 4.5 Divide each side by '12'. y = 0.375 Simplifying y = 0.375
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