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Simplifying 4y + 12 + 6y = 24y + -8 + [-2y] Reorder the terms: 12 + 4y + 6y = 24y + -8 + [-2y] Combine like terms: 4y + 6y = 10y 12 + 10y = 24y + -8 + [-2y] Reorder the terms: 12 + 10y = -8 + 24y + [-2y] Combine like terms: 24y + [-2y] = 22y 12 + 10y = -8 + 22y Solving 12 + 10y = -8 + 22y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-22y' to each side of the equation. 12 + 10y + -22y = -8 + 22y + -22y Combine like terms: 10y + -22y = -12y 12 + -12y = -8 + 22y + -22y Combine like terms: 22y + -22y = 0 12 + -12y = -8 + 0 12 + -12y = -8 Add '-12' to each side of the equation. 12 + -12 + -12y = -8 + -12 Combine like terms: 12 + -12 = 0 0 + -12y = -8 + -12 -12y = -8 + -12 Combine like terms: -8 + -12 = -20 -12y = -20 Divide each side by '-12'. y = 1.666666667 Simplifying y = 1.666666667
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