TOKYO, July 2 (Reuters) - SoftBank's LY Corp ( YAHOF ) and

Bain Capital have raised their bid for Kakaku.com ( KKKUF )

again, valuing the Japanese price-comparison website operator at

670 billion yen ($4.12 billion) and widening their lead over a

rival offer from Sweden's EQT.

In the legally binding offer announced late on Wednesday, LY

and Bain said they would raise their bid for all outstanding

Kakaku.com ( KKKUF ) shares to 3,384 yen apiece from 3,232 yen proposed in

May.

They said the offer would increase to 3,500 yen per share if

KDDI Corp ( KDDIF ), one of Kakaku.com's ( KKKUF ) biggest shareholders,

agrees to support the bid.

In light of the new proposal, Kakaku.com ( KKKUF ) said in a statement

on Thursday it would seek discussions with EQT over its offer

price, currently at 3,000 yen, while maintaining its support for

the Swedish investment firm's bid.

It withdrew its recommendation for shareholders to support

that bid, changing its stance to "neutral", adding that it would

engage in talks with both bidders.

($1 = 162.4900 yen)