ZoneId nyZone = ZoneId.of("America/New_York");
ZoneId brazilZone = ZoneId.of("America/Recife");

LocalDateTime ldtBrazil = LocalDateTime.now(brazilZone);
LocalDateTime ldtNY = LocalDateTime.now(nyZone);

Instant instantBrazil = ldtBrazil.toInstant(ZoneOffset.UTC);
Instant instantNY = ldtNY.toInstant(ZoneOffset.UTC);

System.out.println("-------LocalDateTime-------");
System.out.println("ldtBrazil    : "+ldtBrazil);
System.out.println("ldtNY        : "+ldtNY);

System.out.println("n-------Instant-------");
System.out.println("instantBrazil: "+instantBrazil);
System.out.println("instantNY    : "+instantNY);

long milliBrazil = instantBrazil.toEpochMilli();
long milliNY = instantNY.toEpochMilli();

System.out.println("n----------Milli----------");
System.out.println("miliBrazil : "+milliBrazil);
System.out.println("miliNY     : "+milliNY);

Date dateBrazil = Date.from(instantBrazil);
Date dateNY = Date.from(instantNY);

System.out.println("n---------Date From Instant---------");
System.out.println("dateBrazil: "+dateBrazil);
System.out.println("dateNY    : "+dateNY);

System.out.println("n---------Date From Milli---------");
System.out.println("dateBrazil: "+new Date(milliBrazil));
System.out.println("dateNY    : "+new Date(milliNY));

-------LocalDateTime-------
ldtBrazil    : 2016-09-21T22:11:52.118
ldtNY        : 2016-09-21T21:11:52.118

-------Instant-------
instantBrazil: 2016-09-21T22:11:52.118Z
instantNY    : 2016-09-21T21:11:52.118Z

----------Milli----------
miliBrazil : 1474495912118
miliNY     : 1474492312118

---------Date From Instant---------
dateBrazil: Wed Sep 21 19:11:52 BRT 2016
dateNY    : Wed Sep 21 18:11:52 BRT 2016 //this data must be related to   NY LocalDateTime, but reiceved a same date of Brazil.

---------Date From Milli---------
dateBrazil: Wed Sep 21 19:11:52 BRT 2016
dateNY    : Wed Sep 21 18:11:52 BRT 2016

Instant now = Instant.now();

ZoneId zNewYork = ZoneId.of("America/New_York");
ZoneId zRecife = ZoneId.of("America/Recife");

ZonedDateTime zdtNewYork = now.atZone( zNewYork );
ZonedDateTime zdtRecife = now.atZone( zRecife );

java.util.Date utilDate = java.util.Date.from( zdtNewYork.toInstant() );

Instant instant = utilDate.toInstant();