diff --git a/Library/Homebrew/extend/os/linux/install.rb b/Library/Homebrew/extend/os/linux/install.rb
index 6bf944c08e04b..2202386424735 100644
--- a/Library/Homebrew/extend/os/linux/install.rb
+++ b/Library/Homebrew/extend/os/linux/install.rb
@@ -20,9 +20,6 @@ module Install
     ].freeze
     private_constant :DYNAMIC_LINKERS
 
-    PREFERRED_GCC_RUNTIME_VERSION = OS::LINUX_PREFERRED_GCC_RUNTIME_FORMULA.split("@").last.freeze
-    private_constant :PREFERRED_GCC_RUNTIME_VERSION
-
     # We link GCC runtime libraries that are not specificaly used for Fortran,
     # which are linked by the GCC formula.  We only use the versioned shared libraries
     # as the other shared and static libraries are only used at build time where
@@ -97,11 +94,13 @@ def setup_preferred_gcc_libs
 
         # Add gcc to ld search paths
         ld_gcc_conf = ld_so_conf_d/"50-homebrew-preferred-gcc.conf"
-        unless ld_gcc_conf.exist?
-          ld_gcc_conf.atomic_write <<~EOS
-            # This file is generated by Homebrew. Do not modify.
-            #{gcc_opt_prefix}/lib/gcc/#{PREFERRED_GCC_RUNTIME_VERSION}
-          EOS
+        ld_gcc_conf_content = <<~EOS
+          # This file is generated by Homebrew. Do not modify.
+          #{gcc_opt_prefix}/lib/gcc/current
+        EOS
+
+        if !ld_gcc_conf.exist? || (ld_gcc_conf.read != ld_gcc_conf_content)
+          ld_gcc_conf.atomic_write ld_gcc_conf_content
           FileUtils.chmod "u=rw,go-wx", ld_gcc_conf
 
           FileUtils.rm_f HOMEBREW_PREFIX/"etc/ld.so.cache"
@@ -118,7 +117,7 @@ def setup_preferred_gcc_libs
           # Remove legacy symlinks
           FileUtils.rm gcc_library_symlink if gcc_library_symlink.symlink?
         else
-          gcc_library = gcc_opt_prefix/"lib/gcc/#{PREFERRED_GCC_RUNTIME_VERSION}/#{library}"
+          gcc_library = gcc_opt_prefix/"lib/gcc/current/#{library}"
           # Skip if the link target doesn't exist.
           next unless gcc_library.readable?
 
diff --git a/Library/Homebrew/os.rb b/Library/Homebrew/os.rb
index a36363695fb0e..13ee649519ba6 100644
--- a/Library/Homebrew/os.rb
+++ b/Library/Homebrew/os.rb
@@ -51,7 +51,7 @@ def self.kernel_name
   LINUX_GLIBC_NEXT_CI_VERSION = "2.35"
   LINUX_GCC_CI_VERSION = "11.0"
   LINUX_PREFERRED_GCC_COMPILER_FORMULA = "gcc@11" # https://packages.ubuntu.com/jammy/gcc
-  LINUX_PREFERRED_GCC_RUNTIME_FORMULA = "gcc@12" # https://packages.ubuntu.com/jammy/libstdc++6
+  LINUX_PREFERRED_GCC_RUNTIME_FORMULA = "gcc"
 
   if OS.mac?
     require "os/mac"