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Simplifying 34 + -6(5 + -2y) = -46 34 + (5 * -6 + -2y * -6) = -46 34 + (-30 + 12y) = -46 Combine like terms: 34 + -30 = 4 4 + 12y = -46 Solving 4 + 12y = -46 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 12y = -46 + -4 Combine like terms: 4 + -4 = 0 0 + 12y = -46 + -4 12y = -46 + -4 Combine like terms: -46 + -4 = -50 12y = -50 Divide each side by '12'. y = -4.166666667 Simplifying y = -4.166666667
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