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