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Simplifying 6(7y + 3) = -31 + 4y Reorder the terms: 6(3 + 7y) = -31 + 4y (3 * 6 + 7y * 6) = -31 + 4y (18 + 42y) = -31 + 4y Solving 18 + 42y = -31 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 18 + 42y + -4y = -31 + 4y + -4y Combine like terms: 42y + -4y = 38y 18 + 38y = -31 + 4y + -4y Combine like terms: 4y + -4y = 0 18 + 38y = -31 + 0 18 + 38y = -31 Add '-18' to each side of the equation. 18 + -18 + 38y = -31 + -18 Combine like terms: 18 + -18 = 0 0 + 38y = -31 + -18 38y = -31 + -18 Combine like terms: -31 + -18 = -49 38y = -49 Divide each side by '38'. y = -1.289473684 Simplifying y = -1.289473684
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