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Simplifying -6(7y + -4) = 31 + -3y Reorder the terms: -6(-4 + 7y) = 31 + -3y (-4 * -6 + 7y * -6) = 31 + -3y (24 + -42y) = 31 + -3y Solving 24 + -42y = 31 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. 24 + -42y + 3y = 31 + -3y + 3y Combine like terms: -42y + 3y = -39y 24 + -39y = 31 + -3y + 3y Combine like terms: -3y + 3y = 0 24 + -39y = 31 + 0 24 + -39y = 31 Add '-24' to each side of the equation. 24 + -24 + -39y = 31 + -24 Combine like terms: 24 + -24 = 0 0 + -39y = 31 + -24 -39y = 31 + -24 Combine like terms: 31 + -24 = 7 -39y = 7 Divide each side by '-39'. y = -0.1794871795 Simplifying y = -0.1794871795
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