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Simplifying 8(4) + 3(2y + -2) = -46 Multiply 8 * 4 32 + 3(2y + -2) = -46 Reorder the terms: 32 + 3(-2 + 2y) = -46 32 + (-2 * 3 + 2y * 3) = -46 32 + (-6 + 6y) = -46 Combine like terms: 32 + -6 = 26 26 + 6y = -46 Solving 26 + 6y = -46 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + 6y = -46 + -26 Combine like terms: 26 + -26 = 0 0 + 6y = -46 + -26 6y = -46 + -26 Combine like terms: -46 + -26 = -72 6y = -72 Divide each side by '6'. y = -12 Simplifying y = -12
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