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Simplifying 5y + 2 + 12(10y + -4) = 0 Reorder the terms: 5y + 2 + 12(-4 + 10y) = 0 5y + 2 + (-4 * 12 + 10y * 12) = 0 5y + 2 + (-48 + 120y) = 0 Reorder the terms: 2 + -48 + 5y + 120y = 0 Combine like terms: 2 + -48 = -46 -46 + 5y + 120y = 0 Combine like terms: 5y + 120y = 125y -46 + 125y = 0 Solving -46 + 125y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '46' to each side of the equation. -46 + 46 + 125y = 0 + 46 Combine like terms: -46 + 46 = 0 0 + 125y = 0 + 46 125y = 0 + 46 Combine like terms: 0 + 46 = 46 125y = 46 Divide each side by '125'. y = 0.368 Simplifying y = 0.368
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